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Finding the Third Proportional to 1,744,719.75 and 3,769,659

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Solution

The third proportional to 1,744,719.75 and 3,769,659 is: 8,144,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,719.75 : 3,769,659 = 3,769,659 : x
  2. Step 2: Convert to fraction form
    1,744,719.75/3,769,659 = 3,769,659/x
  3. Step 3: Cross multiply
    1,744,719.75x = 3,769,659 × 3,769,659
  4. Step 4: Simplify right side
    1,744,719.75x = 14,210,328,976,281
  5. Step 5: Solve for x
    x = 14,210,328,976,281/1,744,719.75
  6. Step 6: Final answer
    x = 8,144,763.06

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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.