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Finding the Third Proportional to 669,293 and 1,019,624

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Solution

The third proportional to 669,293 and 1,019,624 is: 1,553,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,293 : 1,019,624 = 1,019,624 : x
  2. Step 2: Convert to fraction form
    669,293/1,019,624 = 1,019,624/x
  3. Step 3: Cross multiply
    669,293x = 1,019,624 × 1,019,624
  4. Step 4: Simplify right side
    669,293x = 1,039,633,101,376
  5. Step 5: Solve for x
    x = 1,039,633,101,376/669,293
  6. Step 6: Final answer
    x = 1,553,330.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.