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Finding the Third Proportional to 428,768 and 914,492

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Solution

The third proportional to 428,768 and 914,492 is: 1,950,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,768 : 914,492 = 914,492 : x
  2. Step 2: Convert to fraction form
    428,768/914,492 = 914,492/x
  3. Step 3: Cross multiply
    428,768x = 914,492 × 914,492
  4. Step 4: Simplify right side
    428,768x = 836,295,618,064
  5. Step 5: Solve for x
    x = 836,295,618,064/428,768
  6. Step 6: Final answer
    x = 1,950,461.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.