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Finding the Third Proportional to 548,122,828 and 807,044,370

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Solution

The third proportional to 548,122,828 and 807,044,370 is: 1,188,274,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,122,828 : 807,044,370 = 807,044,370 : x
  2. Step 2: Convert to fraction form
    548,122,828/807,044,370 = 807,044,370/x
  3. Step 3: Cross multiply
    548,122,828x = 807,044,370 × 807,044,370
  4. Step 4: Simplify right side
    548,122,828x = 651,320,615,148,696,960
  5. Step 5: Solve for x
    x = 651,320,615,148,696,960/548,122,828
  6. Step 6: Final answer
    x = 1,188,274,930.14

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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.