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Finding the Third Proportional to 391,323,024 and 852,962,478

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Solution

The third proportional to 391,323,024 and 852,962,478 is: 1,859,192,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,323,024 : 852,962,478 = 852,962,478 : x
  2. Step 2: Convert to fraction form
    391,323,024/852,962,478 = 852,962,478/x
  3. Step 3: Cross multiply
    391,323,024x = 852,962,478 × 852,962,478
  4. Step 4: Simplify right side
    391,323,024x = 727,544,988,875,900,544
  5. Step 5: Solve for x
    x = 727,544,988,875,900,544/391,323,024
  6. Step 6: Final answer
    x = 1,859,192,902.68

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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.