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Finding the Third Proportional to 1,781,340 and 3,842,617

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Solution

The third proportional to 1,781,340 and 3,842,617 is: 8,289,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,340 : 3,842,617 = 3,842,617 : x
  2. Step 2: Convert to fraction form
    1,781,340/3,842,617 = 3,842,617/x
  3. Step 3: Cross multiply
    1,781,340x = 3,842,617 × 3,842,617
  4. Step 4: Simplify right side
    1,781,340x = 14,765,705,408,689
  5. Step 5: Solve for x
    x = 14,765,705,408,689/1,781,340
  6. Step 6: Final answer
    x = 8,289,100.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.