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Finding the Third Proportional to 1,096,412 and 1,687,434

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Solution

The third proportional to 1,096,412 and 1,687,434 is: 2,597,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,412 : 1,687,434 = 1,687,434 : x
  2. Step 2: Convert to fraction form
    1,096,412/1,687,434 = 1,687,434/x
  3. Step 3: Cross multiply
    1,096,412x = 1,687,434 × 1,687,434
  4. Step 4: Simplify right side
    1,096,412x = 2,847,433,504,356
  5. Step 5: Solve for x
    x = 2,847,433,504,356/1,096,412
  6. Step 6: Final answer
    x = 2,597,047.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.