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Finding the Third Proportional to 2,516,713 and 3,775,342

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Solution

The third proportional to 2,516,713 and 3,775,342 is: 5,663,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516,713 : 3,775,342 = 3,775,342 : x
  2. Step 2: Convert to fraction form
    2,516,713/3,775,342 = 3,775,342/x
  3. Step 3: Cross multiply
    2,516,713x = 3,775,342 × 3,775,342
  4. Step 4: Simplify right side
    2,516,713x = 14,253,207,216,964
  5. Step 5: Solve for x
    x = 14,253,207,216,964/2,516,713
  6. Step 6: Final answer
    x = 5,663,421.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.