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Finding the Third Proportional to 632,549 and 1,377,410

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Solution

The third proportional to 632,549 and 1,377,410 is: 2,999,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,549 : 1,377,410 = 1,377,410 : x
  2. Step 2: Convert to fraction form
    632,549/1,377,410 = 1,377,410/x
  3. Step 3: Cross multiply
    632,549x = 1,377,410 × 1,377,410
  4. Step 4: Simplify right side
    632,549x = 1,897,258,308,100
  5. Step 5: Solve for x
    x = 1,897,258,308,100/632,549
  6. Step 6: Final answer
    x = 2,999,385.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.