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Finding the Third Proportional to 591,649 and 1,295,921

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Solution

The third proportional to 591,649 and 1,295,921 is: 2,838,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,649 : 1,295,921 = 1,295,921 : x
  2. Step 2: Convert to fraction form
    591,649/1,295,921 = 1,295,921/x
  3. Step 3: Cross multiply
    591,649x = 1,295,921 × 1,295,921
  4. Step 4: Simplify right side
    591,649x = 1,679,411,238,241
  5. Step 5: Solve for x
    x = 1,679,411,238,241/591,649
  6. Step 6: Final answer
    x = 2,838,526.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.