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Finding the Third Proportional to 653,845.38 and 1,407,882.63

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Solution

The third proportional to 653,845.38 and 1,407,882.63 is: 3,031,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,845.38 : 1,407,882.63 = 1,407,882.63 : x
  2. Step 2: Convert to fraction form
    653,845.38/1,407,882.63 = 1,407,882.63/x
  3. Step 3: Cross multiply
    653,845.38x = 1,407,882.63 × 1,407,882.63
  4. Step 4: Simplify right side
    653,845.38x = 1,982,133,485,776.89
  5. Step 5: Solve for x
    x = 1,982,133,485,776.89/653,845.38
  6. Step 6: Final answer
    x = 3,031,501.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.