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Finding the Third Proportional to 680,040 and 1,484,496

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Solution

The third proportional to 680,040 and 1,484,496 is: 3,240,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,040 : 1,484,496 = 1,484,496 : x
  2. Step 2: Convert to fraction form
    680,040/1,484,496 = 1,484,496/x
  3. Step 3: Cross multiply
    680,040x = 1,484,496 × 1,484,496
  4. Step 4: Simplify right side
    680,040x = 2,203,728,374,016
  5. Step 5: Solve for x
    x = 2,203,728,374,016/680,040
  6. Step 6: Final answer
    x = 3,240,586.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.