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Finding the Third Proportional to 663,200.16 and 1,420,950.09

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Solution

The third proportional to 663,200.16 and 1,420,950.09 is: 3,044,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,200.16 : 1,420,950.09 = 1,420,950.09 : x
  2. Step 2: Convert to fraction form
    663,200.16/1,420,950.09 = 1,420,950.09/x
  3. Step 3: Cross multiply
    663,200.16x = 1,420,950.09 × 1,420,950.09
  4. Step 4: Simplify right side
    663,200.16x = 2,019,099,168,928.13
  5. Step 5: Solve for x
    x = 2,019,099,168,928.13/663,200.16
  6. Step 6: Final answer
    x = 3,044,479.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.