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Finding the Third Proportional to 413,294 and 876,187

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Solution

The third proportional to 413,294 and 876,187 is: 1,857,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,294 : 876,187 = 876,187 : x
  2. Step 2: Convert to fraction form
    413,294/876,187 = 876,187/x
  3. Step 3: Cross multiply
    413,294x = 876,187 × 876,187
  4. Step 4: Simplify right side
    413,294x = 767,703,658,969
  5. Step 5: Solve for x
    x = 767,703,658,969/413,294
  6. Step 6: Final answer
    x = 1,857,524.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.