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Finding the Third Proportional to 667,038 and 1,466,922

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Solution

The third proportional to 667,038 and 1,466,922 is: 3,225,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,038 : 1,466,922 = 1,466,922 : x
  2. Step 2: Convert to fraction form
    667,038/1,466,922 = 1,466,922/x
  3. Step 3: Cross multiply
    667,038x = 1,466,922 × 1,466,922
  4. Step 4: Simplify right side
    667,038x = 2,151,860,154,084
  5. Step 5: Solve for x
    x = 2,151,860,154,084/667,038
  6. Step 6: Final answer
    x = 3,225,993.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.