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Finding the Third Proportional to 502,044 and 1,103,598

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Solution

The third proportional to 502,044 and 1,103,598 is: 2,425,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,044 : 1,103,598 = 1,103,598 : x
  2. Step 2: Convert to fraction form
    502,044/1,103,598 = 1,103,598/x
  3. Step 3: Cross multiply
    502,044x = 1,103,598 × 1,103,598
  4. Step 4: Simplify right side
    502,044x = 1,217,928,545,604
  5. Step 5: Solve for x
    x = 1,217,928,545,604/502,044
  6. Step 6: Final answer
    x = 2,425,939.85

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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.