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Finding the Third Proportional to 669,214.67 and 1,019,506.34

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Solution

The third proportional to 669,214.67 and 1,019,506.34 is: 1,553,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,214.67 : 1,019,506.34 = 1,019,506.34 : x
  2. Step 2: Convert to fraction form
    669,214.67/1,019,506.34 = 1,019,506.34/x
  3. Step 3: Cross multiply
    669,214.67x = 1,019,506.34 × 1,019,506.34
  4. Step 4: Simplify right side
    669,214.67x = 1,039,393,180,964.10
  5. Step 5: Solve for x
    x = 1,039,393,180,964.10/669,214.67
  6. Step 6: Final answer
    x = 1,553,153.61

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Why These Related Problems?

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