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Finding the Third Proportional to 411,930 and 868,146

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Solution

The third proportional to 411,930 and 868,146 is: 1,829,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,930 : 868,146 = 868,146 : x
  2. Step 2: Convert to fraction form
    411,930/868,146 = 868,146/x
  3. Step 3: Cross multiply
    411,930x = 868,146 × 868,146
  4. Step 4: Simplify right side
    411,930x = 753,677,477,316
  5. Step 5: Solve for x
    x = 753,677,477,316/411,930
  6. Step 6: Final answer
    x = 1,829,625.12

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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.