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Finding the Third Proportional to 2,451,614 and 3,780,814

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Solution

The third proportional to 2,451,614 and 3,780,814 is: 5,830,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,614 : 3,780,814 = 3,780,814 : x
  2. Step 2: Convert to fraction form
    2,451,614/3,780,814 = 3,780,814/x
  3. Step 3: Cross multiply
    2,451,614x = 3,780,814 × 3,780,814
  4. Step 4: Simplify right side
    2,451,614x = 14,294,554,502,596
  5. Step 5: Solve for x
    x = 14,294,554,502,596/2,451,614
  6. Step 6: Final answer
    x = 5,830,670.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.