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Finding the Third Proportional to 560,936 and 1,234,057

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Solution

The third proportional to 560,936 and 1,234,057 is: 2,714,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,936 : 1,234,057 = 1,234,057 : x
  2. Step 2: Convert to fraction form
    560,936/1,234,057 = 1,234,057/x
  3. Step 3: Cross multiply
    560,936x = 1,234,057 × 1,234,057
  4. Step 4: Simplify right side
    560,936x = 1,522,896,679,249
  5. Step 5: Solve for x
    x = 1,522,896,679,249/560,936
  6. Step 6: Final answer
    x = 2,714,920.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.