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Finding the Third Proportional to 732,946 and 1,591,226

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Solution

The third proportional to 732,946 and 1,591,226 is: 3,454,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,946 : 1,591,226 = 1,591,226 : x
  2. Step 2: Convert to fraction form
    732,946/1,591,226 = 1,591,226/x
  3. Step 3: Cross multiply
    732,946x = 1,591,226 × 1,591,226
  4. Step 4: Simplify right side
    732,946x = 2,532,000,183,076
  5. Step 5: Solve for x
    x = 2,532,000,183,076/732,946
  6. Step 6: Final answer
    x = 3,454,552.15

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Why These Related Problems?

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