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Finding the Third Proportional to 548,122,826 and 807,044,367

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Solution

The third proportional to 548,122,826 and 807,044,367 is: 1,188,274,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,122,826 : 807,044,367 = 807,044,367 : x
  2. Step 2: Convert to fraction form
    548,122,826/807,044,367 = 807,044,367/x
  3. Step 3: Cross multiply
    548,122,826x = 807,044,367 × 807,044,367
  4. Step 4: Simplify right side
    548,122,826x = 651,320,610,306,430,720
  5. Step 5: Solve for x
    x = 651,320,610,306,430,720/548,122,826
  6. Step 6: Final answer
    x = 1,188,274,925.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.