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Finding the Third Proportional to 1,049,031 and 1,586,061

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Solution

The third proportional to 1,049,031 and 1,586,061 is: 2,398,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,031 : 1,586,061 = 1,586,061 : x
  2. Step 2: Convert to fraction form
    1,049,031/1,586,061 = 1,586,061/x
  3. Step 3: Cross multiply
    1,049,031x = 1,586,061 × 1,586,061
  4. Step 4: Simplify right side
    1,049,031x = 2,515,589,495,721
  5. Step 5: Solve for x
    x = 2,515,589,495,721/1,049,031
  6. Step 6: Final answer
    x = 2,398,012.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.