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Finding the Third Proportional to 722,208 and 1,564,944

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Solution

The third proportional to 722,208 and 1,564,944 is: 3,391,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,208 : 1,564,944 = 1,564,944 : x
  2. Step 2: Convert to fraction form
    722,208/1,564,944 = 1,564,944/x
  3. Step 3: Cross multiply
    722,208x = 1,564,944 × 1,564,944
  4. Step 4: Simplify right side
    722,208x = 2,449,049,723,136
  5. Step 5: Solve for x
    x = 2,449,049,723,136/722,208
  6. Step 6: Final answer
    x = 3,391,058.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.