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Finding the Third Proportional to 578,694 and 1,267,722

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Solution

The third proportional to 578,694 and 1,267,722 is: 2,777,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,694 : 1,267,722 = 1,267,722 : x
  2. Step 2: Convert to fraction form
    578,694/1,267,722 = 1,267,722/x
  3. Step 3: Cross multiply
    578,694x = 1,267,722 × 1,267,722
  4. Step 4: Simplify right side
    578,694x = 1,607,119,069,284
  5. Step 5: Solve for x
    x = 1,607,119,069,284/578,694
  6. Step 6: Final answer
    x = 2,777,148.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.