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Finding the Third Proportional to 423,782 and 928,492

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Solution

The third proportional to 423,782 and 928,492 is: 2,034,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,782 : 928,492 = 928,492 : x
  2. Step 2: Convert to fraction form
    423,782/928,492 = 928,492/x
  3. Step 3: Cross multiply
    423,782x = 928,492 × 928,492
  4. Step 4: Simplify right side
    423,782x = 862,097,394,064
  5. Step 5: Solve for x
    x = 862,097,394,064/423,782
  6. Step 6: Final answer
    x = 2,034,294.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.