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Finding the Third Proportional to 544,122 and 857,919

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Solution

The third proportional to 544,122 and 857,919 is: 1,352,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,122 : 857,919 = 857,919 : x
  2. Step 2: Convert to fraction form
    544,122/857,919 = 857,919/x
  3. Step 3: Cross multiply
    544,122x = 857,919 × 857,919
  4. Step 4: Simplify right side
    544,122x = 736,025,010,561
  5. Step 5: Solve for x
    x = 736,025,010,561/544,122
  6. Step 6: Final answer
    x = 1,352,683.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.