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Finding the Third Proportional to 645,505.31 and 1,418,403.38

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Solution

The third proportional to 645,505.31 and 1,418,403.38 is: 3,116,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,505.31 : 1,418,403.38 = 1,418,403.38 : x
  2. Step 2: Convert to fraction form
    645,505.31/1,418,403.38 = 1,418,403.38/x
  3. Step 3: Cross multiply
    645,505.31x = 1,418,403.38 × 1,418,403.38
  4. Step 4: Simplify right side
    645,505.31x = 2,011,868,134,211.39
  5. Step 5: Solve for x
    x = 2,011,868,134,211.39/645,505.31
  6. Step 6: Final answer
    x = 3,116,733.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.