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Finding the Third Proportional to 858,928 and 1,828,736

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Solution

The third proportional to 858,928 and 1,828,736 is: 3,893,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,928 : 1,828,736 = 1,828,736 : x
  2. Step 2: Convert to fraction form
    858,928/1,828,736 = 1,828,736/x
  3. Step 3: Cross multiply
    858,928x = 1,828,736 × 1,828,736
  4. Step 4: Simplify right side
    858,928x = 3,344,275,357,696
  5. Step 5: Solve for x
    x = 3,344,275,357,696/858,928
  6. Step 6: Final answer
    x = 3,893,545.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.