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Finding the Third Proportional to 1,092,726 and 1,639,089

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Solution

The third proportional to 1,092,726 and 1,639,089 is: 2,458,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,726 : 1,639,089 = 1,639,089 : x
  2. Step 2: Convert to fraction form
    1,092,726/1,639,089 = 1,639,089/x
  3. Step 3: Cross multiply
    1,092,726x = 1,639,089 × 1,639,089
  4. Step 4: Simplify right side
    1,092,726x = 2,686,612,749,921
  5. Step 5: Solve for x
    x = 2,686,612,749,921/1,092,726
  6. Step 6: Final answer
    x = 2,458,633.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.