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Finding the Third Proportional to 1,002,561,806 and 1,532,658,621

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Solution

The third proportional to 1,002,561,806 and 1,532,658,621 is: 2,343,040,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,561,806 : 1,532,658,621 = 1,532,658,621 : x
  2. Step 2: Convert to fraction form
    1,002,561,806/1,532,658,621 = 1,532,658,621/x
  3. Step 3: Cross multiply
    1,002,561,806x = 1,532,658,621 × 1,532,658,621
  4. Step 4: Simplify right side
    1,002,561,806x = 2,349,042,448,525,621,760
  5. Step 5: Solve for x
    x = 2,349,042,448,525,621,760/1,002,561,806
  6. Step 6: Final answer
    x = 2,343,040,034.51

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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.