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Finding the Third Proportional to 411,900.19 and 868,087.13

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Solution

The third proportional to 411,900.19 and 868,087.13 is: 1,829,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,900.19 : 868,087.13 = 868,087.13 : x
  2. Step 2: Convert to fraction form
    411,900.19/868,087.13 = 868,087.13/x
  3. Step 3: Cross multiply
    411,900.19x = 868,087.13 × 868,087.13
  4. Step 4: Simplify right side
    411,900.19x = 753,575,256,590.77
  5. Step 5: Solve for x
    x = 753,575,256,590.77/411,900.19
  6. Step 6: Final answer
    x = 1,829,509.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.