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Finding the Third Proportional to 457,423,208 and 706,794,692

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Solution

The third proportional to 457,423,208 and 706,794,692 is: 1,092,114,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,423,208 : 706,794,692 = 706,794,692 : x
  2. Step 2: Convert to fraction form
    457,423,208/706,794,692 = 706,794,692/x
  3. Step 3: Cross multiply
    457,423,208x = 706,794,692 × 706,794,692
  4. Step 4: Simplify right side
    457,423,208x = 499,558,736,639,374,848
  5. Step 5: Solve for x
    x = 499,558,736,639,374,848/457,423,208
  6. Step 6: Final answer
    x = 1,092,114,977.78

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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.