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Finding the Third Proportional to 766,332 and 1,642,649

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Solution

The third proportional to 766,332 and 1,642,649 is: 3,521,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,332 : 1,642,649 = 1,642,649 : x
  2. Step 2: Convert to fraction form
    766,332/1,642,649 = 1,642,649/x
  3. Step 3: Cross multiply
    766,332x = 1,642,649 × 1,642,649
  4. Step 4: Simplify right side
    766,332x = 2,698,295,737,201
  5. Step 5: Solve for x
    x = 2,698,295,737,201/766,332
  6. Step 6: Final answer
    x = 3,521,053.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.