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Finding the Third Proportional to 591,939 and 1,278,461

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Solution

The third proportional to 591,939 and 1,278,461 is: 2,761,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,939 : 1,278,461 = 1,278,461 : x
  2. Step 2: Convert to fraction form
    591,939/1,278,461 = 1,278,461/x
  3. Step 3: Cross multiply
    591,939x = 1,278,461 × 1,278,461
  4. Step 4: Simplify right side
    591,939x = 1,634,462,528,521
  5. Step 5: Solve for x
    x = 1,634,462,528,521/591,939
  6. Step 6: Final answer
    x = 2,761,200.95

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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.