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Finding the Third Proportional to 747,832 and 1,160,158

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Solution

The third proportional to 747,832 and 1,160,158 is: 1,799,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,832 : 1,160,158 = 1,160,158 : x
  2. Step 2: Convert to fraction form
    747,832/1,160,158 = 1,160,158/x
  3. Step 3: Cross multiply
    747,832x = 1,160,158 × 1,160,158
  4. Step 4: Simplify right side
    747,832x = 1,345,966,584,964
  5. Step 5: Solve for x
    x = 1,345,966,584,964/747,832
  6. Step 6: Final answer
    x = 1,799,824.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.