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Finding the Third Proportional to 1,406,031 and 2,099,845

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Solution

The third proportional to 1,406,031 and 2,099,845 is: 3,136,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,031 : 2,099,845 = 2,099,845 : x
  2. Step 2: Convert to fraction form
    1,406,031/2,099,845 = 2,099,845/x
  3. Step 3: Cross multiply
    1,406,031x = 2,099,845 × 2,099,845
  4. Step 4: Simplify right side
    1,406,031x = 4,409,349,024,025
  5. Step 5: Solve for x
    x = 4,409,349,024,025/1,406,031
  6. Step 6: Final answer
    x = 3,136,025.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.