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Finding the Third Proportional to 1,002,561,918 and 1,532,658,771

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Solution

The third proportional to 1,002,561,918 and 1,532,658,771 is: 2,343,040,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,561,918 : 1,532,658,771 = 1,532,658,771 : x
  2. Step 2: Convert to fraction form
    1,002,561,918/1,532,658,771 = 1,532,658,771/x
  3. Step 3: Cross multiply
    1,002,561,918x = 1,532,658,771 × 1,532,658,771
  4. Step 4: Simplify right side
    1,002,561,918x = 2,349,042,908,323,230,208
  5. Step 5: Solve for x
    x = 2,349,042,908,323,230,208/1,002,561,918
  6. Step 6: Final answer
    x = 2,343,040,231.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.