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Finding the Third Proportional to 1,002,561,900 and 1,532,658,744

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Solution

The third proportional to 1,002,561,900 and 1,532,658,744 is: 2,343,040,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,561,900 : 1,532,658,744 = 1,532,658,744 : x
  2. Step 2: Convert to fraction form
    1,002,561,900/1,532,658,744 = 1,532,658,744/x
  3. Step 3: Cross multiply
    1,002,561,900x = 1,532,658,744 × 1,532,658,744
  4. Step 4: Simplify right side
    1,002,561,900x = 2,349,042,825,559,657,472
  5. Step 5: Solve for x
    x = 2,349,042,825,559,657,472/1,002,561,900
  6. Step 6: Final answer
    x = 2,343,040,190.89

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