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Finding the Third Proportional to 2,377,650 and 3,611,931

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Solution

The third proportional to 2,377,650 and 3,611,931 is: 5,486,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377,650 : 3,611,931 = 3,611,931 : x
  2. Step 2: Convert to fraction form
    2,377,650/3,611,931 = 3,611,931/x
  3. Step 3: Cross multiply
    2,377,650x = 3,611,931 × 3,611,931
  4. Step 4: Simplify right side
    2,377,650x = 13,046,045,548,761
  5. Step 5: Solve for x
    x = 13,046,045,548,761/2,377,650
  6. Step 6: Final answer
    x = 5,486,949.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.