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Finding the Third Proportional to 766,108.13 and 1,159,813.69

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Solution

The third proportional to 766,108.13 and 1,159,813.69 is: 1,755,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,108.13 : 1,159,813.69 = 1,159,813.69 : x
  2. Step 2: Convert to fraction form
    766,108.13/1,159,813.69 = 1,159,813.69/x
  3. Step 3: Cross multiply
    766,108.13x = 1,159,813.69 × 1,159,813.69
  4. Step 4: Simplify right side
    766,108.13x = 1,345,167,789,712.35
  5. Step 5: Solve for x
    x = 1,345,167,789,712.35/766,108.13
  6. Step 6: Final answer
    x = 1,755,845.87

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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.