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Finding the Third Proportional to 1,085,734 and 1,597,022

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Solution

The third proportional to 1,085,734 and 1,597,022 is: 2,349,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,734 : 1,597,022 = 1,597,022 : x
  2. Step 2: Convert to fraction form
    1,085,734/1,597,022 = 1,597,022/x
  3. Step 3: Cross multiply
    1,085,734x = 1,597,022 × 1,597,022
  4. Step 4: Simplify right side
    1,085,734x = 2,550,479,268,484
  5. Step 5: Solve for x
    x = 2,550,479,268,484/1,085,734
  6. Step 6: Final answer
    x = 2,349,082.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.