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Finding the Third Proportional to 863,281 and 2,016,344

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Solution

The third proportional to 863,281 and 2,016,344 is: 4,709,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,281 : 2,016,344 = 2,016,344 : x
  2. Step 2: Convert to fraction form
    863,281/2,016,344 = 2,016,344/x
  3. Step 3: Cross multiply
    863,281x = 2,016,344 × 2,016,344
  4. Step 4: Simplify right side
    863,281x = 4,065,643,126,336
  5. Step 5: Solve for x
    x = 4,065,643,126,336/863,281
  6. Step 6: Final answer
    x = 4,709,524.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.