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Finding the Third Proportional to 521,148,825 and 1,145,584,314

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Solution

The third proportional to 521,148,825 and 1,145,584,314 is: 2,518,212,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,148,825 : 1,145,584,314 = 1,145,584,314 : x
  2. Step 2: Convert to fraction form
    521,148,825/1,145,584,314 = 1,145,584,314/x
  3. Step 3: Cross multiply
    521,148,825x = 1,145,584,314 × 1,145,584,314
  4. Step 4: Simplify right side
    521,148,825x = 1,312,363,420,482,850,560
  5. Step 5: Solve for x
    x = 1,312,363,420,482,850,560/521,148,825
  6. Step 6: Final answer
    x = 2,518,212,375.29

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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.