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Finding the Third Proportional to 563,478 and 1,252,936

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Solution

The third proportional to 563,478 and 1,252,936 is: 2,785,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,478 : 1,252,936 = 1,252,936 : x
  2. Step 2: Convert to fraction form
    563,478/1,252,936 = 1,252,936/x
  3. Step 3: Cross multiply
    563,478x = 1,252,936 × 1,252,936
  4. Step 4: Simplify right side
    563,478x = 1,569,848,620,096
  5. Step 5: Solve for x
    x = 1,569,848,620,096/563,478
  6. Step 6: Final answer
    x = 2,785,998.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.