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Finding the Third Proportional to 2,781,657 and 5,962,536

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Solution

The third proportional to 2,781,657 and 5,962,536 is: 12,780,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,657 : 5,962,536 = 5,962,536 : x
  2. Step 2: Convert to fraction form
    2,781,657/5,962,536 = 5,962,536/x
  3. Step 3: Cross multiply
    2,781,657x = 5,962,536 × 5,962,536
  4. Step 4: Simplify right side
    2,781,657x = 35,551,835,551,296
  5. Step 5: Solve for x
    x = 35,551,835,551,296/2,781,657
  6. Step 6: Final answer
    x = 12,780,812.14

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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.