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Finding the Third Proportional to 416,934,050 and 916,091,524

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Solution

The third proportional to 416,934,050 and 916,091,524 is: 2,012,845,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,934,050 : 916,091,524 = 916,091,524 : x
  2. Step 2: Convert to fraction form
    416,934,050/916,091,524 = 916,091,524/x
  3. Step 3: Cross multiply
    416,934,050x = 916,091,524 × 916,091,524
  4. Step 4: Simplify right side
    416,934,050x = 839,223,680,344,642,560
  5. Step 5: Solve for x
    x = 839,223,680,344,642,560/416,934,050
  6. Step 6: Final answer
    x = 2,012,845,149.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.