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Finding the Third Proportional to 1,781,341.88 and 3,842,619.75

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Solution

The third proportional to 1,781,341.88 and 3,842,619.75 is: 8,289,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,341.88 : 3,842,619.75 = 3,842,619.75 : x
  2. Step 2: Convert to fraction form
    1,781,341.88/3,842,619.75 = 3,842,619.75/x
  3. Step 3: Cross multiply
    1,781,341.88x = 3,842,619.75 × 3,842,619.75
  4. Step 4: Simplify right side
    1,781,341.88x = 14,765,726,543,090.06
  5. Step 5: Solve for x
    x = 14,765,726,543,090.06/1,781,341.88
  6. Step 6: Final answer
    x = 8,289,103.15

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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.