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Finding the Third Proportional to 591,938 and 1,278,459

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Solution

The third proportional to 591,938 and 1,278,459 is: 2,761,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,938 : 1,278,459 = 1,278,459 : x
  2. Step 2: Convert to fraction form
    591,938/1,278,459 = 1,278,459/x
  3. Step 3: Cross multiply
    591,938x = 1,278,459 × 1,278,459
  4. Step 4: Simplify right side
    591,938x = 1,634,457,414,681
  5. Step 5: Solve for x
    x = 1,634,457,414,681/591,938
  6. Step 6: Final answer
    x = 2,761,196.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.