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Finding the Third Proportional to 3,239,460 and 6,976,584

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Solution

The third proportional to 3,239,460 and 6,976,584 is: 15,024,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239,460 : 6,976,584 = 6,976,584 : x
  2. Step 2: Convert to fraction form
    3,239,460/6,976,584 = 6,976,584/x
  3. Step 3: Cross multiply
    3,239,460x = 6,976,584 × 6,976,584
  4. Step 4: Simplify right side
    3,239,460x = 48,672,724,309,056
  5. Step 5: Solve for x
    x = 48,672,724,309,056/3,239,460
  6. Step 6: Final answer
    x = 15,024,949.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.