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Finding the Third Proportional to 2,981,728 and 6,435,560

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Solution

The third proportional to 2,981,728 and 6,435,560 is: 13,890,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,728 : 6,435,560 = 6,435,560 : x
  2. Step 2: Convert to fraction form
    2,981,728/6,435,560 = 6,435,560/x
  3. Step 3: Cross multiply
    2,981,728x = 6,435,560 × 6,435,560
  4. Step 4: Simplify right side
    2,981,728x = 41,416,432,513,600
  5. Step 5: Solve for x
    x = 41,416,432,513,600/2,981,728
  6. Step 6: Final answer
    x = 13,890,077.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.