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Finding the Third Proportional to 645,697.13 and 1,407,652.31

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Solution

The third proportional to 645,697.13 and 1,407,652.31 is: 3,068,753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,697.13 : 1,407,652.31 = 1,407,652.31 : x
  2. Step 2: Convert to fraction form
    645,697.13/1,407,652.31 = 1,407,652.31/x
  3. Step 3: Cross multiply
    645,697.13x = 1,407,652.31 × 1,407,652.31
  4. Step 4: Simplify right side
    645,697.13x = 1,981,485,032,886.60
  5. Step 5: Solve for x
    x = 1,981,485,032,886.60/645,697.13
  6. Step 6: Final answer
    x = 3,068,753.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.