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Finding the Third Proportional to 4,398,642 and 6,440,496

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Solution

The third proportional to 4,398,642 and 6,440,496 is: 9,430,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398,642 : 6,440,496 = 6,440,496 : x
  2. Step 2: Convert to fraction form
    4,398,642/6,440,496 = 6,440,496/x
  3. Step 3: Cross multiply
    4,398,642x = 6,440,496 × 6,440,496
  4. Step 4: Simplify right side
    4,398,642x = 41,479,988,726,016
  5. Step 5: Solve for x
    x = 41,479,988,726,016/4,398,642
  6. Step 6: Final answer
    x = 9,430,180.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.