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Finding the Third Proportional to 685,528 and 1,485,468

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Solution

The third proportional to 685,528 and 1,485,468 is: 3,218,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,528 : 1,485,468 = 1,485,468 : x
  2. Step 2: Convert to fraction form
    685,528/1,485,468 = 1,485,468/x
  3. Step 3: Cross multiply
    685,528x = 1,485,468 × 1,485,468
  4. Step 4: Simplify right side
    685,528x = 2,206,615,179,024
  5. Step 5: Solve for x
    x = 2,206,615,179,024/685,528
  6. Step 6: Final answer
    x = 3,218,854.92

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