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Finding the Third Proportional to 391,330,850 and 852,974,306

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Solution

The third proportional to 391,330,850 and 852,974,306 is: 1,859,207,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,330,850 : 852,974,306 = 852,974,306 : x
  2. Step 2: Convert to fraction form
    391,330,850/852,974,306 = 852,974,306/x
  3. Step 3: Cross multiply
    391,330,850x = 852,974,306 × 852,974,306
  4. Step 4: Simplify right side
    391,330,850x = 727,565,166,696,181,632
  5. Step 5: Solve for x
    x = 727,565,166,696,181,632/391,330,850
  6. Step 6: Final answer
    x = 1,859,207,283.80

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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.