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Finding the Third Proportional to 732,959 and 1,591,254

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Solution

The third proportional to 732,959 and 1,591,254 is: 3,454,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,959 : 1,591,254 = 1,591,254 : x
  2. Step 2: Convert to fraction form
    732,959/1,591,254 = 1,591,254/x
  3. Step 3: Cross multiply
    732,959x = 1,591,254 × 1,591,254
  4. Step 4: Simplify right side
    732,959x = 2,532,089,292,516
  5. Step 5: Solve for x
    x = 2,532,089,292,516/732,959
  6. Step 6: Final answer
    x = 3,454,612.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.