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Finding the Third Proportional to 562,221 and 894,169.13

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Solution

The third proportional to 562,221 and 894,169.13 is: 1,422,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,221 : 894,169.13 = 894,169.13 : x
  2. Step 2: Convert to fraction form
    562,221/894,169.13 = 894,169.13/x
  3. Step 3: Cross multiply
    562,221x = 894,169.13 × 894,169.13
  4. Step 4: Simplify right side
    562,221x = 799,538,424,103.27
  5. Step 5: Solve for x
    x = 799,538,424,103.27/562,221
  6. Step 6: Final answer
    x = 1,422,107.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.