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Finding the Third Proportional to 489,838,883.63 and 1,057,600,577.25

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Solution

The third proportional to 489,838,883.63 and 1,057,600,577.25 is: 2,283,442,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,838,883.63 : 1,057,600,577.25 = 1,057,600,577.25 : x
  2. Step 2: Convert to fraction form
    489,838,883.63/1,057,600,577.25 = 1,057,600,577.25/x
  3. Step 3: Cross multiply
    489,838,883.63x = 1,057,600,577.25 × 1,057,600,577.25
  4. Step 4: Simplify right side
    489,838,883.63x = 1,118,518,980,999,533,184
  5. Step 5: Solve for x
    x = 1,118,518,980,999,533,184/489,838,883.63
  6. Step 6: Final answer
    x = 2,283,442,614.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.