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Finding the Third Proportional to 861,572 and 1,879,812

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Solution

The third proportional to 861,572 and 1,879,812 is: 4,101,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,572 : 1,879,812 = 1,879,812 : x
  2. Step 2: Convert to fraction form
    861,572/1,879,812 = 1,879,812/x
  3. Step 3: Cross multiply
    861,572x = 1,879,812 × 1,879,812
  4. Step 4: Simplify right side
    861,572x = 3,533,693,155,344
  5. Step 5: Solve for x
    x = 3,533,693,155,344/861,572
  6. Step 6: Final answer
    x = 4,101,448.46

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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.