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Finding the Third Proportional to 441,909,780 and 664,709,658

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Solution

The third proportional to 441,909,780 and 664,709,658 is: 999,839,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,909,780 : 664,709,658 = 664,709,658 : x
  2. Step 2: Convert to fraction form
    441,909,780/664,709,658 = 664,709,658/x
  3. Step 3: Cross multiply
    441,909,780x = 664,709,658 × 664,709,658
  4. Step 4: Simplify right side
    441,909,780x = 441,838,929,438,476,992
  5. Step 5: Solve for x
    x = 441,838,929,438,476,992/441,909,780
  6. Step 6: Final answer
    x = 999,839,671.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.