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Finding the Third Proportional to 452,403 and 974,311

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Solution

The third proportional to 452,403 and 974,311 is: 2,098,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,403 : 974,311 = 974,311 : x
  2. Step 2: Convert to fraction form
    452,403/974,311 = 974,311/x
  3. Step 3: Cross multiply
    452,403x = 974,311 × 974,311
  4. Step 4: Simplify right side
    452,403x = 949,281,924,721
  5. Step 5: Solve for x
    x = 949,281,924,721/452,403
  6. Step 6: Final answer
    x = 2,098,310.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.