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Finding the Third Proportional to 407,897 and 874,842

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Solution

The third proportional to 407,897 and 874,842 is: 1,876,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,897 : 874,842 = 874,842 : x
  2. Step 2: Convert to fraction form
    407,897/874,842 = 874,842/x
  3. Step 3: Cross multiply
    407,897x = 874,842 × 874,842
  4. Step 4: Simplify right side
    407,897x = 765,348,524,964
  5. Step 5: Solve for x
    x = 765,348,524,964/407,897
  6. Step 6: Final answer
    x = 1,876,327.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.