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Finding the Third Proportional to 665,046 and 1,031,874

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Solution

The third proportional to 665,046 and 1,031,874 is: 1,601,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,046 : 1,031,874 = 1,031,874 : x
  2. Step 2: Convert to fraction form
    665,046/1,031,874 = 1,031,874/x
  3. Step 3: Cross multiply
    665,046x = 1,031,874 × 1,031,874
  4. Step 4: Simplify right side
    665,046x = 1,064,763,951,876
  5. Step 5: Solve for x
    x = 1,064,763,951,876/665,046
  6. Step 6: Final answer
    x = 1,601,038.05

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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.