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Finding the Third Proportional to 441,722,060 and 684,905,252

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Solution

The third proportional to 441,722,060 and 684,905,252 is: 1,061,969,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,722,060 : 684,905,252 = 684,905,252 : x
  2. Step 2: Convert to fraction form
    441,722,060/684,905,252 = 684,905,252/x
  3. Step 3: Cross multiply
    441,722,060x = 684,905,252 × 684,905,252
  4. Step 4: Simplify right side
    441,722,060x = 469,095,204,217,183,488
  5. Step 5: Solve for x
    x = 469,095,204,217,183,488/441,722,060
  6. Step 6: Final answer
    x = 1,061,969,158.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.