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Finding the Third Proportional to 642,196.13 and 1,411,512.75

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Solution

The third proportional to 642,196.13 and 1,411,512.75 is: 3,102,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,196.13 : 1,411,512.75 = 1,411,512.75 : x
  2. Step 2: Convert to fraction form
    642,196.13/1,411,512.75 = 1,411,512.75/x
  3. Step 3: Cross multiply
    642,196.13x = 1,411,512.75 × 1,411,512.75
  4. Step 4: Simplify right side
    642,196.13x = 1,992,368,243,412.56
  5. Step 5: Solve for x
    x = 1,992,368,243,412.56/642,196.13
  6. Step 6: Final answer
    x = 3,102,429.56

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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.