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Finding the Third Proportional to 591,947 and 1,278,478

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Solution

The third proportional to 591,947 and 1,278,478 is: 2,761,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,947 : 1,278,478 = 1,278,478 : x
  2. Step 2: Convert to fraction form
    591,947/1,278,478 = 1,278,478/x
  3. Step 3: Cross multiply
    591,947x = 1,278,478 × 1,278,478
  4. Step 4: Simplify right side
    591,947x = 1,634,505,996,484
  5. Step 5: Solve for x
    x = 1,634,505,996,484/591,947
  6. Step 6: Final answer
    x = 2,761,237.06

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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.