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Finding the Third Proportional to 733,972 and 1,033,566

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Solution

The third proportional to 733,972 and 1,033,566 is: 1,455,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,972 : 1,033,566 = 1,033,566 : x
  2. Step 2: Convert to fraction form
    733,972/1,033,566 = 1,033,566/x
  3. Step 3: Cross multiply
    733,972x = 1,033,566 × 1,033,566
  4. Step 4: Simplify right side
    733,972x = 1,068,258,676,356
  5. Step 5: Solve for x
    x = 1,068,258,676,356/733,972
  6. Step 6: Final answer
    x = 1,455,448.81

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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.