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Finding the Third Proportional to 2,553,164 and 3,780,448

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Solution

The third proportional to 2,553,164 and 3,780,448 is: 5,597,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553,164 : 3,780,448 = 3,780,448 : x
  2. Step 2: Convert to fraction form
    2,553,164/3,780,448 = 3,780,448/x
  3. Step 3: Cross multiply
    2,553,164x = 3,780,448 × 3,780,448
  4. Step 4: Simplify right side
    2,553,164x = 14,291,787,080,704
  5. Step 5: Solve for x
    x = 14,291,787,080,704/2,553,164
  6. Step 6: Final answer
    x = 5,597,676.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.