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Finding the Third Proportional to 1,031,638 and 1,577,985

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Solution

The third proportional to 1,031,638 and 1,577,985 is: 2,413,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,638 : 1,577,985 = 1,577,985 : x
  2. Step 2: Convert to fraction form
    1,031,638/1,577,985 = 1,577,985/x
  3. Step 3: Cross multiply
    1,031,638x = 1,577,985 × 1,577,985
  4. Step 4: Simplify right side
    1,031,638x = 2,490,036,660,225
  5. Step 5: Solve for x
    x = 2,490,036,660,225/1,031,638
  6. Step 6: Final answer
    x = 2,413,672.88

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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.