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Finding the Third Proportional to 411,538 and 898,486

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Solution

The third proportional to 411,538 and 898,486 is: 1,961,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,538 : 898,486 = 898,486 : x
  2. Step 2: Convert to fraction form
    411,538/898,486 = 898,486/x
  3. Step 3: Cross multiply
    411,538x = 898,486 × 898,486
  4. Step 4: Simplify right side
    411,538x = 807,277,092,196
  5. Step 5: Solve for x
    x = 807,277,092,196/411,538
  6. Step 6: Final answer
    x = 1,961,610.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.