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Finding the Third Proportional to 1,284,987 and 1,927,725.75

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Solution

The third proportional to 1,284,987 and 1,927,725.75 is: 2,891,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,987 : 1,927,725.75 = 1,927,725.75 : x
  2. Step 2: Convert to fraction form
    1,284,987/1,927,725.75 = 1,927,725.75/x
  3. Step 3: Cross multiply
    1,284,987x = 1,927,725.75 × 1,927,725.75
  4. Step 4: Simplify right side
    1,284,987x = 3,716,126,567,213.06
  5. Step 5: Solve for x
    x = 3,716,126,567,213.06/1,284,987
  6. Step 6: Final answer
    x = 2,891,956.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.