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Finding the Third Proportional to 435,429,540 and 674,205,120

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Solution

The third proportional to 435,429,540 and 674,205,120 is: 1,043,917,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,429,540 : 674,205,120 = 674,205,120 : x
  2. Step 2: Convert to fraction form
    435,429,540/674,205,120 = 674,205,120/x
  3. Step 3: Cross multiply
    435,429,540x = 674,205,120 × 674,205,120
  4. Step 4: Simplify right side
    435,429,540x = 454,552,543,834,214,400
  5. Step 5: Solve for x
    x = 454,552,543,834,214,400/435,429,540
  6. Step 6: Final answer
    x = 1,043,917,562.03

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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.