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Finding the Third Proportional to 2,652,898 and 5,729,382

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Solution

The third proportional to 2,652,898 and 5,729,382 is: 12,373,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,898 : 5,729,382 = 5,729,382 : x
  2. Step 2: Convert to fraction form
    2,652,898/5,729,382 = 5,729,382/x
  3. Step 3: Cross multiply
    2,652,898x = 5,729,382 × 5,729,382
  4. Step 4: Simplify right side
    2,652,898x = 32,825,818,101,924
  5. Step 5: Solve for x
    x = 32,825,818,101,924/2,652,898
  6. Step 6: Final answer
    x = 12,373,569.62

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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.