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Finding the Third Proportional to 459,840 and 1,002,432

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Solution

The third proportional to 459,840 and 1,002,432 is: 2,185,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,840 : 1,002,432 = 1,002,432 : x
  2. Step 2: Convert to fraction form
    459,840/1,002,432 = 1,002,432/x
  3. Step 3: Cross multiply
    459,840x = 1,002,432 × 1,002,432
  4. Step 4: Simplify right side
    459,840x = 1,004,869,914,624
  5. Step 5: Solve for x
    x = 1,004,869,914,624/459,840
  6. Step 6: Final answer
    x = 2,185,259.90

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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.