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Finding the Third Proportional to 1,247,814 and 1,926,744.75

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Solution

The third proportional to 1,247,814 and 1,926,744.75 is: 2,975,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,814 : 1,926,744.75 = 1,926,744.75 : x
  2. Step 2: Convert to fraction form
    1,247,814/1,926,744.75 = 1,926,744.75/x
  3. Step 3: Cross multiply
    1,247,814x = 1,926,744.75 × 1,926,744.75
  4. Step 4: Simplify right side
    1,247,814x = 3,712,345,331,652.56
  5. Step 5: Solve for x
    x = 3,712,345,331,652.56/1,247,814
  6. Step 6: Final answer
    x = 2,975,079.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.