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Finding the Third Proportional to 548,122,830 and 807,044,373

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Solution

The third proportional to 548,122,830 and 807,044,373 is: 1,188,274,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,122,830 : 807,044,373 = 807,044,373 : x
  2. Step 2: Convert to fraction form
    548,122,830/807,044,373 = 807,044,373/x
  3. Step 3: Cross multiply
    548,122,830x = 807,044,373 × 807,044,373
  4. Step 4: Simplify right side
    548,122,830x = 651,320,619,990,963,072
  5. Step 5: Solve for x
    x = 651,320,619,990,963,072/548,122,830
  6. Step 6: Final answer
    x = 1,188,274,934.64

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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.