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Finding the Third Proportional to 857,932 and 1,865,263

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Solution

The third proportional to 857,932 and 1,865,263 is: 4,055,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,932 : 1,865,263 = 1,865,263 : x
  2. Step 2: Convert to fraction form
    857,932/1,865,263 = 1,865,263/x
  3. Step 3: Cross multiply
    857,932x = 1,865,263 × 1,865,263
  4. Step 4: Simplify right side
    857,932x = 3,479,206,059,169
  5. Step 5: Solve for x
    x = 3,479,206,059,169/857,932
  6. Step 6: Final answer
    x = 4,055,340.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.