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Finding the Third Proportional to 554,850 and 838,108

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Solution

The third proportional to 554,850 and 838,108 is: 1,265,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,850 : 838,108 = 838,108 : x
  2. Step 2: Convert to fraction form
    554,850/838,108 = 838,108/x
  3. Step 3: Cross multiply
    554,850x = 838,108 × 838,108
  4. Step 4: Simplify right side
    554,850x = 702,425,019,664
  5. Step 5: Solve for x
    x = 702,425,019,664/554,850
  6. Step 6: Final answer
    x = 1,265,972.82

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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.