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Finding the Third Proportional to 733,877 and 1,033,460

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Solution

The third proportional to 733,877 and 1,033,460 is: 1,455,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,877 : 1,033,460 = 1,033,460 : x
  2. Step 2: Convert to fraction form
    733,877/1,033,460 = 1,033,460/x
  3. Step 3: Cross multiply
    733,877x = 1,033,460 × 1,033,460
  4. Step 4: Simplify right side
    733,877x = 1,068,039,571,600
  5. Step 5: Solve for x
    x = 1,068,039,571,600/733,877
  6. Step 6: Final answer
    x = 1,455,338.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.