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Finding the Third Proportional to 924,648,234 and 1,394,810,560

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Solution

The third proportional to 924,648,234 and 1,394,810,560 is: 2,104,039,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,648,234 : 1,394,810,560 = 1,394,810,560 : x
  2. Step 2: Convert to fraction form
    924,648,234/1,394,810,560 = 1,394,810,560/x
  3. Step 3: Cross multiply
    924,648,234x = 1,394,810,560 × 1,394,810,560
  4. Step 4: Simplify right side
    924,648,234x = 1,945,496,498,287,513,600
  5. Step 5: Solve for x
    x = 1,945,496,498,287,513,600/924,648,234
  6. Step 6: Final answer
    x = 2,104,039,597.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.