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Finding the Third Proportional to 391,363,944 and 844,009,584

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Solution

The third proportional to 391,363,944 and 844,009,584 is: 1,820,178,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,363,944 : 844,009,584 = 844,009,584 : x
  2. Step 2: Convert to fraction form
    391,363,944/844,009,584 = 844,009,584/x
  3. Step 3: Cross multiply
    391,363,944x = 844,009,584 × 844,009,584
  4. Step 4: Simplify right side
    391,363,944x = 712,352,177,883,853,056
  5. Step 5: Solve for x
    x = 712,352,177,883,853,056/391,363,944
  6. Step 6: Final answer
    x = 1,820,178,350.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.