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Finding the Third Proportional to 488,199,424 and 736,839,119

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Solution

The third proportional to 488,199,424 and 736,839,119 is: 1,112,110,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,199,424 : 736,839,119 = 736,839,119 : x
  2. Step 2: Convert to fraction form
    488,199,424/736,839,119 = 736,839,119/x
  3. Step 3: Cross multiply
    488,199,424x = 736,839,119 × 736,839,119
  4. Step 4: Simplify right side
    488,199,424x = 542,931,887,288,696,192
  5. Step 5: Solve for x
    x = 542,931,887,288,696,192/488,199,424
  6. Step 6: Final answer
    x = 1,112,110,872.32

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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.