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Finding the Third Proportional to 766,154 and 1,666,660

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Solution

The third proportional to 766,154 and 1,666,660 is: 3,625,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,154 : 1,666,660 = 1,666,660 : x
  2. Step 2: Convert to fraction form
    766,154/1,666,660 = 1,666,660/x
  3. Step 3: Cross multiply
    766,154x = 1,666,660 × 1,666,660
  4. Step 4: Simplify right side
    766,154x = 2,777,755,555,600
  5. Step 5: Solve for x
    x = 2,777,755,555,600/766,154
  6. Step 6: Final answer
    x = 3,625,583.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.