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Finding the Third Proportional to 406,924 and 913,922

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Solution

The third proportional to 406,924 and 913,922 is: 2,052,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,924 : 913,922 = 913,922 : x
  2. Step 2: Convert to fraction form
    406,924/913,922 = 913,922/x
  3. Step 3: Cross multiply
    406,924x = 913,922 × 913,922
  4. Step 4: Simplify right side
    406,924x = 835,253,422,084
  5. Step 5: Solve for x
    x = 835,253,422,084/406,924
  6. Step 6: Final answer
    x = 2,052,603.00

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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.