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Finding the Third Proportional to 286,157,200 and 619,853,524

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Solution

The third proportional to 286,157,200 and 619,853,524 is: 1,342,682,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,157,200 : 619,853,524 = 619,853,524 : x
  2. Step 2: Convert to fraction form
    286,157,200/619,853,524 = 619,853,524/x
  3. Step 3: Cross multiply
    286,157,200x = 619,853,524 × 619,853,524
  4. Step 4: Simplify right side
    286,157,200x = 384,218,391,215,218,560
  5. Step 5: Solve for x
    x = 384,218,391,215,218,560/286,157,200
  6. Step 6: Final answer
    x = 1,342,682,942.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.