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Finding the Third Proportional to 706,278,336 and 1,520,497,548

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Solution

The third proportional to 706,278,336 and 1,520,497,548 is: 3,273,373,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,278,336 : 1,520,497,548 = 1,520,497,548 : x
  2. Step 2: Convert to fraction form
    706,278,336/1,520,497,548 = 1,520,497,548/x
  3. Step 3: Cross multiply
    706,278,336x = 1,520,497,548 × 1,520,497,548
  4. Step 4: Simplify right side
    706,278,336x = 2,311,912,793,474,012,160
  5. Step 5: Solve for x
    x = 2,311,912,793,474,012,160/706,278,336
  6. Step 6: Final answer
    x = 3,273,373,506.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.