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Finding the Third Proportional to 563,954 and 1,220,836

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Solution

The third proportional to 563,954 and 1,220,836 is: 2,642,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,954 : 1,220,836 = 1,220,836 : x
  2. Step 2: Convert to fraction form
    563,954/1,220,836 = 1,220,836/x
  3. Step 3: Cross multiply
    563,954x = 1,220,836 × 1,220,836
  4. Step 4: Simplify right side
    563,954x = 1,490,440,538,896
  5. Step 5: Solve for x
    x = 1,490,440,538,896/563,954
  6. Step 6: Final answer
    x = 2,642,840.62

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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.