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Finding the Third Proportional to 516,609,298 and 795,134,394

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Solution

The third proportional to 516,609,298 and 795,134,394 is: 1,223,823,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,609,298 : 795,134,394 = 795,134,394 : x
  2. Step 2: Convert to fraction form
    516,609,298/795,134,394 = 795,134,394/x
  3. Step 3: Cross multiply
    516,609,298x = 795,134,394 × 795,134,394
  4. Step 4: Simplify right side
    516,609,298x = 632,238,704,521,747,200
  5. Step 5: Solve for x
    x = 632,238,704,521,747,200/516,609,298
  6. Step 6: Final answer
    x = 1,223,823,703.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.