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Finding the Third Proportional to 605,730 and 933,866

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Solution

The third proportional to 605,730 and 933,866 is: 1,439,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,730 : 933,866 = 933,866 : x
  2. Step 2: Convert to fraction form
    605,730/933,866 = 933,866/x
  3. Step 3: Cross multiply
    605,730x = 933,866 × 933,866
  4. Step 4: Simplify right side
    605,730x = 872,105,705,956
  5. Step 5: Solve for x
    x = 872,105,705,956/605,730
  6. Step 6: Final answer
    x = 1,439,759.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.