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Finding the Third Proportional to 1,293,306.75 and 1,985,158.13

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Solution

The third proportional to 1,293,306.75 and 1,985,158.13 is: 3,047,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,306.75 : 1,985,158.13 = 1,985,158.13 : x
  2. Step 2: Convert to fraction form
    1,293,306.75/1,985,158.13 = 1,985,158.13/x
  3. Step 3: Cross multiply
    1,293,306.75x = 1,985,158.13 × 1,985,158.13
  4. Step 4: Simplify right side
    1,293,306.75x = 3,940,852,781,253.52
  5. Step 5: Solve for x
    x = 3,940,852,781,253.52/1,293,306.75
  6. Step 6: Final answer
    x = 3,047,113.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.