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Finding the Third Proportional to 406,920 and 913,914

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Solution

The third proportional to 406,920 and 913,914 is: 2,052,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,920 : 913,914 = 913,914 : x
  2. Step 2: Convert to fraction form
    406,920/913,914 = 913,914/x
  3. Step 3: Cross multiply
    406,920x = 913,914 × 913,914
  4. Step 4: Simplify right side
    406,920x = 835,238,799,396
  5. Step 5: Solve for x
    x = 835,238,799,396/406,920
  6. Step 6: Final answer
    x = 2,052,587.24

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.