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Finding the Third Proportional to 554,846 and 838,102

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Solution

The third proportional to 554,846 and 838,102 is: 1,265,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,846 : 838,102 = 838,102 : x
  2. Step 2: Convert to fraction form
    554,846/838,102 = 838,102/x
  3. Step 3: Cross multiply
    554,846x = 838,102 × 838,102
  4. Step 4: Simplify right side
    554,846x = 702,414,962,404
  5. Step 5: Solve for x
    x = 702,414,962,404/554,846
  6. Step 6: Final answer
    x = 1,265,963.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.