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Finding the Third Proportional to 916,849.13 and 1,451,467.69

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Solution

The third proportional to 916,849.13 and 1,451,467.69 is: 2,297,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,849.13 : 1,451,467.69 = 1,451,467.69 : x
  2. Step 2: Convert to fraction form
    916,849.13/1,451,467.69 = 1,451,467.69/x
  3. Step 3: Cross multiply
    916,849.13x = 1,451,467.69 × 1,451,467.69
  4. Step 4: Simplify right side
    916,849.13x = 2,106,758,447,856.60
  5. Step 5: Solve for x
    x = 2,106,758,447,856.60/916,849.13
  6. Step 6: Final answer
    x = 2,297,824.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.