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Finding the Third Proportional to 406,011 and 893,022

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Solution

The third proportional to 406,011 and 893,022 is: 1,964,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,011 : 893,022 = 893,022 : x
  2. Step 2: Convert to fraction form
    406,011/893,022 = 893,022/x
  3. Step 3: Cross multiply
    406,011x = 893,022 × 893,022
  4. Step 4: Simplify right side
    406,011x = 797,488,292,484
  5. Step 5: Solve for x
    x = 797,488,292,484/406,011
  6. Step 6: Final answer
    x = 1,964,203.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.