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Finding the Third Proportional to 4,462,092 and 6,703,314

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Solution

The third proportional to 4,462,092 and 6,703,314 is: 10,070,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462,092 : 6,703,314 = 6,703,314 : x
  2. Step 2: Convert to fraction form
    4,462,092/6,703,314 = 6,703,314/x
  3. Step 3: Cross multiply
    4,462,092x = 6,703,314 × 6,703,314
  4. Step 4: Simplify right side
    4,462,092x = 44,934,418,582,596
  5. Step 5: Solve for x
    x = 44,934,418,582,596/4,462,092
  6. Step 6: Final answer
    x = 10,070,258.21

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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.