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Finding the Third Proportional to 441,934,854 and 669,044,233

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Solution

The third proportional to 441,934,854 and 669,044,233 is: 1,012,864,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,934,854 : 669,044,233 = 669,044,233 : x
  2. Step 2: Convert to fraction form
    441,934,854/669,044,233 = 669,044,233/x
  3. Step 3: Cross multiply
    441,934,854x = 669,044,233 × 669,044,233
  4. Step 4: Simplify right side
    441,934,854x = 447,620,185,710,558,272
  5. Step 5: Solve for x
    x = 447,620,185,710,558,272/441,934,854
  6. Step 6: Final answer
    x = 1,012,864,637.53

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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.