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Finding the Third Proportional to 1,031,632 and 1,577,976

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Solution

The third proportional to 1,031,632 and 1,577,976 is: 2,413,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,632 : 1,577,976 = 1,577,976 : x
  2. Step 2: Convert to fraction form
    1,031,632/1,577,976 = 1,577,976/x
  3. Step 3: Cross multiply
    1,031,632x = 1,577,976 × 1,577,976
  4. Step 4: Simplify right side
    1,031,632x = 2,490,008,256,576
  5. Step 5: Solve for x
    x = 2,490,008,256,576/1,031,632
  6. Step 6: Final answer
    x = 2,413,659.38

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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.