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Finding the Third Proportional to 466,512 and 1,017,432

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Solution

The third proportional to 466,512 and 1,017,432 is: 2,218,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,512 : 1,017,432 = 1,017,432 : x
  2. Step 2: Convert to fraction form
    466,512/1,017,432 = 1,017,432/x
  3. Step 3: Cross multiply
    466,512x = 1,017,432 × 1,017,432
  4. Step 4: Simplify right side
    466,512x = 1,035,167,874,624
  5. Step 5: Solve for x
    x = 1,035,167,874,624/466,512
  6. Step 6: Final answer
    x = 2,218,952.30

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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.