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Finding the Third Proportional to 406,488 and 893,412

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Solution

The third proportional to 406,488 and 893,412 is: 1,963,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,488 : 893,412 = 893,412 : x
  2. Step 2: Convert to fraction form
    406,488/893,412 = 893,412/x
  3. Step 3: Cross multiply
    406,488x = 893,412 × 893,412
  4. Step 4: Simplify right side
    406,488x = 798,185,001,744
  5. Step 5: Solve for x
    x = 798,185,001,744/406,488
  6. Step 6: Final answer
    x = 1,963,612.71

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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.