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Finding the Third Proportional to 521,672,544 and 1,125,064,287

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Solution

The third proportional to 521,672,544 and 1,125,064,287 is: 2,426,368,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,672,544 : 1,125,064,287 = 1,125,064,287 : x
  2. Step 2: Convert to fraction form
    521,672,544/1,125,064,287 = 1,125,064,287/x
  3. Step 3: Cross multiply
    521,672,544x = 1,125,064,287 × 1,125,064,287
  4. Step 4: Simplify right side
    521,672,544x = 1,265,769,649,882,818,304
  5. Step 5: Solve for x
    x = 1,265,769,649,882,818,304/521,672,544
  6. Step 6: Final answer
    x = 2,426,368,158.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.