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Finding the Third Proportional to 757,623 and 1,664,691

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Solution

The third proportional to 757,623 and 1,664,691 is: 3,657,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,623 : 1,664,691 = 1,664,691 : x
  2. Step 2: Convert to fraction form
    757,623/1,664,691 = 1,664,691/x
  3. Step 3: Cross multiply
    757,623x = 1,664,691 × 1,664,691
  4. Step 4: Simplify right side
    757,623x = 2,771,196,125,481
  5. Step 5: Solve for x
    x = 2,771,196,125,481/757,623
  6. Step 6: Final answer
    x = 3,657,750.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.