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Finding the Third Proportional to 857,683 and 1,826,294

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Solution

The third proportional to 857,683 and 1,826,294 is: 3,888,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,683 : 1,826,294 = 1,826,294 : x
  2. Step 2: Convert to fraction form
    857,683/1,826,294 = 1,826,294/x
  3. Step 3: Cross multiply
    857,683x = 1,826,294 × 1,826,294
  4. Step 4: Simplify right side
    857,683x = 3,335,349,774,436
  5. Step 5: Solve for x
    x = 3,335,349,774,436/857,683
  6. Step 6: Final answer
    x = 3,888,790.82

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