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Finding the Third Proportional to 716,761 and 1,539,781

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Solution

The third proportional to 716,761 and 1,539,781 is: 3,307,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,761 : 1,539,781 = 1,539,781 : x
  2. Step 2: Convert to fraction form
    716,761/1,539,781 = 1,539,781/x
  3. Step 3: Cross multiply
    716,761x = 1,539,781 × 1,539,781
  4. Step 4: Simplify right side
    716,761x = 2,370,925,527,961
  5. Step 5: Solve for x
    x = 2,370,925,527,961/716,761
  6. Step 6: Final answer
    x = 3,307,832.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.