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Finding the Third Proportional to 406,084 and 935,914

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Solution

The third proportional to 406,084 and 935,914 is: 2,157,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,084 : 935,914 = 935,914 : x
  2. Step 2: Convert to fraction form
    406,084/935,914 = 935,914/x
  3. Step 3: Cross multiply
    406,084x = 935,914 × 935,914
  4. Step 4: Simplify right side
    406,084x = 875,935,015,396
  5. Step 5: Solve for x
    x = 875,935,015,396/406,084
  6. Step 6: Final answer
    x = 2,157,029.13

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.