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Finding the Third Proportional to 406,110 and 893,220

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Solution

The third proportional to 406,110 and 893,220 is: 1,964,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,110 : 893,220 = 893,220 : x
  2. Step 2: Convert to fraction form
    406,110/893,220 = 893,220/x
  3. Step 3: Cross multiply
    406,110x = 893,220 × 893,220
  4. Step 4: Simplify right side
    406,110x = 797,841,968,400
  5. Step 5: Solve for x
    x = 797,841,968,400/406,110
  6. Step 6: Final answer
    x = 1,964,595.72

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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.