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Finding the Third Proportional to 406,107 and 893,214

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Solution

The third proportional to 406,107 and 893,214 is: 1,964,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,107 : 893,214 = 893,214 : x
  2. Step 2: Convert to fraction form
    406,107/893,214 = 893,214/x
  3. Step 3: Cross multiply
    406,107x = 893,214 × 893,214
  4. Step 4: Simplify right side
    406,107x = 797,831,249,796
  5. Step 5: Solve for x
    x = 797,831,249,796/406,107
  6. Step 6: Final answer
    x = 1,964,583.84

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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.