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Finding the Third Proportional to 763,692 and 1,155,186

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Solution

The third proportional to 763,692 and 1,155,186 is: 1,747,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,692 : 1,155,186 = 1,155,186 : x
  2. Step 2: Convert to fraction form
    763,692/1,155,186 = 1,155,186/x
  3. Step 3: Cross multiply
    763,692x = 1,155,186 × 1,155,186
  4. Step 4: Simplify right side
    763,692x = 1,334,454,694,596
  5. Step 5: Solve for x
    x = 1,334,454,694,596/763,692
  6. Step 6: Final answer
    x = 1,747,372.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.