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Finding the Third Proportional to 560,766 and 1,233,678

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Solution

The third proportional to 560,766 and 1,233,678 is: 2,714,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,766 : 1,233,678 = 1,233,678 : x
  2. Step 2: Convert to fraction form
    560,766/1,233,678 = 1,233,678/x
  3. Step 3: Cross multiply
    560,766x = 1,233,678 × 1,233,678
  4. Step 4: Simplify right side
    560,766x = 1,521,961,407,684
  5. Step 5: Solve for x
    x = 1,521,961,407,684/560,766
  6. Step 6: Final answer
    x = 2,714,075.76

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