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Finding the Third Proportional to 563,968 and 1,220,864

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Solution

The third proportional to 563,968 and 1,220,864 is: 2,642,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,968 : 1,220,864 = 1,220,864 : x
  2. Step 2: Convert to fraction form
    563,968/1,220,864 = 1,220,864/x
  3. Step 3: Cross multiply
    563,968x = 1,220,864 × 1,220,864
  4. Step 4: Simplify right side
    563,968x = 1,490,508,906,496
  5. Step 5: Solve for x
    x = 1,490,508,906,496/563,968
  6. Step 6: Final answer
    x = 2,642,896.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.