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Finding the Third Proportional to 857,754 and 1,833,306

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Solution

The third proportional to 857,754 and 1,833,306 is: 3,918,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,754 : 1,833,306 = 1,833,306 : x
  2. Step 2: Convert to fraction form
    857,754/1,833,306 = 1,833,306/x
  3. Step 3: Cross multiply
    857,754x = 1,833,306 × 1,833,306
  4. Step 4: Simplify right side
    857,754x = 3,361,010,889,636
  5. Step 5: Solve for x
    x = 3,361,010,889,636/857,754
  6. Step 6: Final answer
    x = 3,918,385.56

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