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Finding the Third Proportional to 502,074 and 1,105,998

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Solution

The third proportional to 502,074 and 1,105,998 is: 2,436,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,074 : 1,105,998 = 1,105,998 : x
  2. Step 2: Convert to fraction form
    502,074/1,105,998 = 1,105,998/x
  3. Step 3: Cross multiply
    502,074x = 1,105,998 × 1,105,998
  4. Step 4: Simplify right side
    502,074x = 1,223,231,576,004
  5. Step 5: Solve for x
    x = 1,223,231,576,004/502,074
  6. Step 6: Final answer
    x = 2,436,357.14

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