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Finding the Third Proportional to 445,331,658 and 921,211,332

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Solution

The third proportional to 445,331,658 and 921,211,332 is: 1,905,614,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,331,658 : 921,211,332 = 921,211,332 : x
  2. Step 2: Convert to fraction form
    445,331,658/921,211,332 = 921,211,332/x
  3. Step 3: Cross multiply
    445,331,658x = 921,211,332 × 921,211,332
  4. Step 4: Simplify right side
    445,331,658x = 848,630,318,205,214,208
  5. Step 5: Solve for x
    x = 848,630,318,205,214,208/445,331,658
  6. Step 6: Final answer
    x = 1,905,614,170.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.