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Finding the Third Proportional to 560,967 and 1,234,083

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Solution

The third proportional to 560,967 and 1,234,083 is: 2,714,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,967 : 1,234,083 = 1,234,083 : x
  2. Step 2: Convert to fraction form
    560,967/1,234,083 = 1,234,083/x
  3. Step 3: Cross multiply
    560,967x = 1,234,083 × 1,234,083
  4. Step 4: Simplify right side
    560,967x = 1,522,960,850,889
  5. Step 5: Solve for x
    x = 1,522,960,850,889/560,967
  6. Step 6: Final answer
    x = 2,714,884.92

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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.