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Finding the Third Proportional to 632,589 and 1,377,490

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Solution

The third proportional to 632,589 and 1,377,490 is: 2,999,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,589 : 1,377,490 = 1,377,490 : x
  2. Step 2: Convert to fraction form
    632,589/1,377,490 = 1,377,490/x
  3. Step 3: Cross multiply
    632,589x = 1,377,490 × 1,377,490
  4. Step 4: Simplify right side
    632,589x = 1,897,478,700,100
  5. Step 5: Solve for x
    x = 1,897,478,700,100/632,589
  6. Step 6: Final answer
    x = 2,999,544.25

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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.