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Finding the Third Proportional to 563,896 and 1,269,740

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Solution

The third proportional to 563,896 and 1,269,740 is: 2,859,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,896 : 1,269,740 = 1,269,740 : x
  2. Step 2: Convert to fraction form
    563,896/1,269,740 = 1,269,740/x
  3. Step 3: Cross multiply
    563,896x = 1,269,740 × 1,269,740
  4. Step 4: Simplify right side
    563,896x = 1,612,239,667,600
  5. Step 5: Solve for x
    x = 1,612,239,667,600/563,896
  6. Step 6: Final answer
    x = 2,859,108.18

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.