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Finding the Third Proportional to 766,080 and 1,159,785

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Solution

The third proportional to 766,080 and 1,159,785 is: 1,755,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,080 : 1,159,785 = 1,159,785 : x
  2. Step 2: Convert to fraction form
    766,080/1,159,785 = 1,159,785/x
  3. Step 3: Cross multiply
    766,080x = 1,159,785 × 1,159,785
  4. Step 4: Simplify right side
    766,080x = 1,345,101,246,225
  5. Step 5: Solve for x
    x = 1,345,101,246,225/766,080
  6. Step 6: Final answer
    x = 1,755,823.47

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Why These Related Problems?

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