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Finding the Third Proportional to 733,914 and 1,033,506

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Solution

The third proportional to 733,914 and 1,033,506 is: 1,455,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,914 : 1,033,506 = 1,033,506 : x
  2. Step 2: Convert to fraction form
    733,914/1,033,506 = 1,033,506/x
  3. Step 3: Cross multiply
    733,914x = 1,033,506 × 1,033,506
  4. Step 4: Simplify right side
    733,914x = 1,068,134,652,036
  5. Step 5: Solve for x
    x = 1,068,134,652,036/733,914
  6. Step 6: Final answer
    x = 1,455,394.84

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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.