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Finding the Third Proportional to 406,017 and 893,034

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Solution

The third proportional to 406,017 and 893,034 is: 1,964,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,017 : 893,034 = 893,034 : x
  2. Step 2: Convert to fraction form
    406,017/893,034 = 893,034/x
  3. Step 3: Cross multiply
    406,017x = 893,034 × 893,034
  4. Step 4: Simplify right side
    406,017x = 797,509,725,156
  5. Step 5: Solve for x
    x = 797,509,725,156/406,017
  6. Step 6: Final answer
    x = 1,964,227.42

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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.