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Finding the Third Proportional to 861,564 and 1,879,796

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Solution

The third proportional to 861,564 and 1,879,796 is: 4,101,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,564 : 1,879,796 = 1,879,796 : x
  2. Step 2: Convert to fraction form
    861,564/1,879,796 = 1,879,796/x
  3. Step 3: Cross multiply
    861,564x = 1,879,796 × 1,879,796
  4. Step 4: Simplify right side
    861,564x = 3,533,633,001,616
  5. Step 5: Solve for x
    x = 3,533,633,001,616/861,564
  6. Step 6: Final answer
    x = 4,101,416.73

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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.