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Finding the Third Proportional to 711,760 and 1,566,122

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Solution

The third proportional to 711,760 and 1,566,122 is: 3,446,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,760 : 1,566,122 = 1,566,122 : x
  2. Step 2: Convert to fraction form
    711,760/1,566,122 = 1,566,122/x
  3. Step 3: Cross multiply
    711,760x = 1,566,122 × 1,566,122
  4. Step 4: Simplify right side
    711,760x = 2,452,738,118,884
  5. Step 5: Solve for x
    x = 2,452,738,118,884/711,760
  6. Step 6: Final answer
    x = 3,446,018.49

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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.