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Finding the Third Proportional to 2,877,840 and 6,154,452

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Solution

The third proportional to 2,877,840 and 6,154,452 is: 13,161,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,840 : 6,154,452 = 6,154,452 : x
  2. Step 2: Convert to fraction form
    2,877,840/6,154,452 = 6,154,452/x
  3. Step 3: Cross multiply
    2,877,840x = 6,154,452 × 6,154,452
  4. Step 4: Simplify right side
    2,877,840x = 37,877,279,420,304
  5. Step 5: Solve for x
    x = 37,877,279,420,304/2,877,840
  6. Step 6: Final answer
    x = 13,161,704.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.