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Finding the Third Proportional to 406,118 and 893,236

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Solution

The third proportional to 406,118 and 893,236 is: 1,964,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,118 : 893,236 = 893,236 : x
  2. Step 2: Convert to fraction form
    406,118/893,236 = 893,236/x
  3. Step 3: Cross multiply
    406,118x = 893,236 × 893,236
  4. Step 4: Simplify right side
    406,118x = 797,870,551,696
  5. Step 5: Solve for x
    x = 797,870,551,696/406,118
  6. Step 6: Final answer
    x = 1,964,627.40

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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.