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Finding the Third Proportional to 2,787,376 and 5,909,688

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Solution

The third proportional to 2,787,376 and 5,909,688 is: 12,529,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787,376 : 5,909,688 = 5,909,688 : x
  2. Step 2: Convert to fraction form
    2,787,376/5,909,688 = 5,909,688/x
  3. Step 3: Cross multiply
    2,787,376x = 5,909,688 × 5,909,688
  4. Step 4: Simplify right side
    2,787,376x = 34,924,412,257,344
  5. Step 5: Solve for x
    x = 34,924,412,257,344/2,787,376
  6. Step 6: Final answer
    x = 12,529,494.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.