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Finding the Third Proportional to 541,806 and 1,246,083

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Solution

The third proportional to 541,806 and 1,246,083 is: 2,865,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,806 : 1,246,083 = 1,246,083 : x
  2. Step 2: Convert to fraction form
    541,806/1,246,083 = 1,246,083/x
  3. Step 3: Cross multiply
    541,806x = 1,246,083 × 1,246,083
  4. Step 4: Simplify right side
    541,806x = 1,552,722,842,889
  5. Step 5: Solve for x
    x = 1,552,722,842,889/541,806
  6. Step 6: Final answer
    x = 2,865,828.07

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.