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Finding the Third Proportional to 487,965.52 and 1,057,373.37

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Solution

The third proportional to 487,965.52 and 1,057,373.37 is: 2,291,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,965.52 : 1,057,373.37 = 1,057,373.37 : x
  2. Step 2: Convert to fraction form
    487,965.52/1,057,373.37 = 1,057,373.37/x
  3. Step 3: Cross multiply
    487,965.52x = 1,057,373.37 × 1,057,373.37
  4. Step 4: Simplify right side
    487,965.52x = 1,118,038,437,637.43
  5. Step 5: Solve for x
    x = 1,118,038,437,637.43/487,965.52
  6. Step 6: Final answer
    x = 2,291,224.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.