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Finding the Third Proportional to 1,226,790 and 1,862,257.50

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Solution

The third proportional to 1,226,790 and 1,862,257.50 is: 2,826,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,790 : 1,862,257.50 = 1,862,257.50 : x
  2. Step 2: Convert to fraction form
    1,226,790/1,862,257.50 = 1,862,257.50/x
  3. Step 3: Cross multiply
    1,226,790x = 1,862,257.50 × 1,862,257.50
  4. Step 4: Simplify right side
    1,226,790x = 3,468,002,996,306.25
  5. Step 5: Solve for x
    x = 3,468,002,996,306.25/1,226,790
  6. Step 6: Final answer
    x = 2,826,892.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.