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Finding the Third Proportional to 790,256.25 and 1,678,947.75

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Solution

The third proportional to 790,256.25 and 1,678,947.75 is: 3,567,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,256.25 : 1,678,947.75 = 1,678,947.75 : x
  2. Step 2: Convert to fraction form
    790,256.25/1,678,947.75 = 1,678,947.75/x
  3. Step 3: Cross multiply
    790,256.25x = 1,678,947.75 × 1,678,947.75
  4. Step 4: Simplify right side
    790,256.25x = 2,818,865,547,230.06
  5. Step 5: Solve for x
    x = 2,818,865,547,230.06/790,256.25
  6. Step 6: Final answer
    x = 3,567,027.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.