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Finding the Third Proportional to 488,444 and 1,055,863

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Solution

The third proportional to 488,444 and 1,055,863 is: 2,282,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,444 : 1,055,863 = 1,055,863 : x
  2. Step 2: Convert to fraction form
    488,444/1,055,863 = 1,055,863/x
  3. Step 3: Cross multiply
    488,444x = 1,055,863 × 1,055,863
  4. Step 4: Simplify right side
    488,444x = 1,114,846,674,769
  5. Step 5: Solve for x
    x = 1,114,846,674,769/488,444
  6. Step 6: Final answer
    x = 2,282,445.22

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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.