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Finding the Third Proportional to 919,584 and 1,366,251

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Solution

The third proportional to 919,584 and 1,366,251 is: 2,029,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,584 : 1,366,251 = 1,366,251 : x
  2. Step 2: Convert to fraction form
    919,584/1,366,251 = 1,366,251/x
  3. Step 3: Cross multiply
    919,584x = 1,366,251 × 1,366,251
  4. Step 4: Simplify right side
    919,584x = 1,866,641,795,001
  5. Step 5: Solve for x
    x = 1,866,641,795,001/919,584
  6. Step 6: Final answer
    x = 2,029,876.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.