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Finding the Third Proportional to 584,558,910 and 1,272,023,734

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Solution

The third proportional to 584,558,910 and 1,272,023,734 is: 2,767,974,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,558,910 : 1,272,023,734 = 1,272,023,734 : x
  2. Step 2: Convert to fraction form
    584,558,910/1,272,023,734 = 1,272,023,734/x
  3. Step 3: Cross multiply
    584,558,910x = 1,272,023,734 × 1,272,023,734
  4. Step 4: Simplify right side
    584,558,910x = 1,618,044,379,859,302,656
  5. Step 5: Solve for x
    x = 1,618,044,379,859,302,656/584,558,910
  6. Step 6: Final answer
    x = 2,767,974,881.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.