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Finding the Third Proportional to 857,766 and 1,833,330

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Solution

The third proportional to 857,766 and 1,833,330 is: 3,918,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,766 : 1,833,330 = 1,833,330 : x
  2. Step 2: Convert to fraction form
    857,766/1,833,330 = 1,833,330/x
  3. Step 3: Cross multiply
    857,766x = 1,833,330 × 1,833,330
  4. Step 4: Simplify right side
    857,766x = 3,361,098,888,900
  5. Step 5: Solve for x
    x = 3,361,098,888,900/857,766
  6. Step 6: Final answer
    x = 3,918,433.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.