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Finding the Third Proportional to 669,380 and 1,019,772

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Solution

The third proportional to 669,380 and 1,019,772 is: 1,553,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,380 : 1,019,772 = 1,019,772 : x
  2. Step 2: Convert to fraction form
    669,380/1,019,772 = 1,019,772/x
  3. Step 3: Cross multiply
    669,380x = 1,019,772 × 1,019,772
  4. Step 4: Simplify right side
    669,380x = 1,039,934,931,984
  5. Step 5: Solve for x
    x = 1,039,934,931,984/669,380
  6. Step 6: Final answer
    x = 1,553,579.33

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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.