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Finding the Third Proportional to 411,538 and 898,487

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Solution

The third proportional to 411,538 and 898,487 is: 1,961,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,538 : 898,487 = 898,487 : x
  2. Step 2: Convert to fraction form
    411,538/898,487 = 898,487/x
  3. Step 3: Cross multiply
    411,538x = 898,487 × 898,487
  4. Step 4: Simplify right side
    411,538x = 807,278,889,169
  5. Step 5: Solve for x
    x = 807,278,889,169/411,538
  6. Step 6: Final answer
    x = 1,961,614.45

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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.