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Finding the Third Proportional to 857,786 and 1,833,368

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Solution

The third proportional to 857,786 and 1,833,368 is: 3,918,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,786 : 1,833,368 = 1,833,368 : x
  2. Step 2: Convert to fraction form
    857,786/1,833,368 = 1,833,368/x
  3. Step 3: Cross multiply
    857,786x = 1,833,368 × 1,833,368
  4. Step 4: Simplify right side
    857,786x = 3,361,238,223,424
  5. Step 5: Solve for x
    x = 3,361,238,223,424/857,786
  6. Step 6: Final answer
    x = 3,918,504.41

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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.