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Finding the Third Proportional to 861,561 and 1,879,791

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Solution

The third proportional to 861,561 and 1,879,791 is: 4,101,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,561 : 1,879,791 = 1,879,791 : x
  2. Step 2: Convert to fraction form
    861,561/1,879,791 = 1,879,791/x
  3. Step 3: Cross multiply
    861,561x = 1,879,791 × 1,879,791
  4. Step 4: Simplify right side
    861,561x = 3,533,614,203,681
  5. Step 5: Solve for x
    x = 3,533,614,203,681/861,561
  6. Step 6: Final answer
    x = 4,101,409.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.