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Finding the Third Proportional to 560,970 and 1,234,089

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Solution

The third proportional to 560,970 and 1,234,089 is: 2,714,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,970 : 1,234,089 = 1,234,089 : x
  2. Step 2: Convert to fraction form
    560,970/1,234,089 = 1,234,089/x
  3. Step 3: Cross multiply
    560,970x = 1,234,089 × 1,234,089
  4. Step 4: Simplify right side
    560,970x = 1,522,975,659,921
  5. Step 5: Solve for x
    x = 1,522,975,659,921/560,970
  6. Step 6: Final answer
    x = 2,714,896.80

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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.