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Finding the Third Proportional to 535,559,134 and 827,575,398

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Solution

The third proportional to 535,559,134 and 827,575,398 is: 1,278,814,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,559,134 : 827,575,398 = 827,575,398 : x
  2. Step 2: Convert to fraction form
    535,559,134/827,575,398 = 827,575,398/x
  3. Step 3: Cross multiply
    535,559,134x = 827,575,398 × 827,575,398
  4. Step 4: Simplify right side
    535,559,134x = 684,881,039,374,858,368
  5. Step 5: Solve for x
    x = 684,881,039,374,858,368/535,559,134
  6. Step 6: Final answer
    x = 1,278,814,972.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.