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Finding the Third Proportional to 488,199,422 and 736,839,116

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Solution

The third proportional to 488,199,422 and 736,839,116 is: 1,112,110,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,199,422 : 736,839,116 = 736,839,116 : x
  2. Step 2: Convert to fraction form
    488,199,422/736,839,116 = 736,839,116/x
  3. Step 3: Cross multiply
    488,199,422x = 736,839,116 × 736,839,116
  4. Step 4: Simplify right side
    488,199,422x = 542,931,882,867,661,440
  5. Step 5: Solve for x
    x = 542,931,882,867,661,440/488,199,422
  6. Step 6: Final answer
    x = 1,112,110,867.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.