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Finding the Third Proportional to 3,291,457.78 and 4,368,600.84

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Solution

The third proportional to 3,291,457.78 and 4,368,600.84 is: 5,798,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291,457.78 : 4,368,600.84 = 4,368,600.84 : x
  2. Step 2: Convert to fraction form
    3,291,457.78/4,368,600.84 = 4,368,600.84/x
  3. Step 3: Cross multiply
    3,291,457.78x = 4,368,600.84 × 4,368,600.84
  4. Step 4: Simplify right side
    3,291,457.78x = 19,084,673,332,013.21
  5. Step 5: Solve for x
    x = 19,084,673,332,013.21/3,291,457.78
  6. Step 6: Final answer
    x = 5,798,243.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.