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Finding the Third Proportional to 664,202 and 1,375,664

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Solution

The third proportional to 664,202 and 1,375,664 is: 2,849,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,202 : 1,375,664 = 1,375,664 : x
  2. Step 2: Convert to fraction form
    664,202/1,375,664 = 1,375,664/x
  3. Step 3: Cross multiply
    664,202x = 1,375,664 × 1,375,664
  4. Step 4: Simplify right side
    664,202x = 1,892,451,440,896
  5. Step 5: Solve for x
    x = 1,892,451,440,896/664,202
  6. Step 6: Final answer
    x = 2,849,210.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.