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Finding the Third Proportional to 1,013,074 and 1,563,472

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Solution

The third proportional to 1,013,074 and 1,563,472 is: 2,412,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,074 : 1,563,472 = 1,563,472 : x
  2. Step 2: Convert to fraction form
    1,013,074/1,563,472 = 1,563,472/x
  3. Step 3: Cross multiply
    1,013,074x = 1,563,472 × 1,563,472
  4. Step 4: Simplify right side
    1,013,074x = 2,444,444,694,784
  5. Step 5: Solve for x
    x = 2,444,444,694,784/1,013,074
  6. Step 6: Final answer
    x = 2,412,898.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.