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Finding the Third Proportional to 633,499 and 1,366,020

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Solution

The third proportional to 633,499 and 1,366,020 is: 2,945,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,499 : 1,366,020 = 1,366,020 : x
  2. Step 2: Convert to fraction form
    633,499/1,366,020 = 1,366,020/x
  3. Step 3: Cross multiply
    633,499x = 1,366,020 × 1,366,020
  4. Step 4: Simplify right side
    633,499x = 1,866,010,640,400
  5. Step 5: Solve for x
    x = 1,866,010,640,400/633,499
  6. Step 6: Final answer
    x = 2,945,562.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.