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Finding the Third Proportional to 665,031 and 1,031,851.13

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Solution

The third proportional to 665,031 and 1,031,851.13 is: 1,601,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,031 : 1,031,851.13 = 1,031,851.13 : x
  2. Step 2: Convert to fraction form
    665,031/1,031,851.13 = 1,031,851.13/x
  3. Step 3: Cross multiply
    665,031x = 1,031,851.13 × 1,031,851.13
  4. Step 4: Simplify right side
    665,031x = 1,064,716,744,163.77
  5. Step 5: Solve for x
    x = 1,064,716,744,163.77/665,031
  6. Step 6: Final answer
    x = 1,601,003.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.