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Finding the Third Proportional to 407,566 and 893,866

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Solution

The third proportional to 407,566 and 893,866 is: 1,960,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,566 : 893,866 = 893,866 : x
  2. Step 2: Convert to fraction form
    407,566/893,866 = 893,866/x
  3. Step 3: Cross multiply
    407,566x = 893,866 × 893,866
  4. Step 4: Simplify right side
    407,566x = 798,996,425,956
  5. Step 5: Solve for x
    x = 798,996,425,956/407,566
  6. Step 6: Final answer
    x = 1,960,409.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.