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Finding the Third Proportional to 413,398 and 885,845

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Solution

The third proportional to 413,398 and 885,845 is: 1,898,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,398 : 885,845 = 885,845 : x
  2. Step 2: Convert to fraction form
    413,398/885,845 = 885,845/x
  3. Step 3: Cross multiply
    413,398x = 885,845 × 885,845
  4. Step 4: Simplify right side
    413,398x = 784,721,364,025
  5. Step 5: Solve for x
    x = 784,721,364,025/413,398
  6. Step 6: Final answer
    x = 1,898,222.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.