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Finding the Third Proportional to 2,997,471 and 4,570,839

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Solution

The third proportional to 2,997,471 and 4,570,839 is: 6,970,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997,471 : 4,570,839 = 4,570,839 : x
  2. Step 2: Convert to fraction form
    2,997,471/4,570,839 = 4,570,839/x
  3. Step 3: Cross multiply
    2,997,471x = 4,570,839 × 4,570,839
  4. Step 4: Simplify right side
    2,997,471x = 20,892,569,163,921
  5. Step 5: Solve for x
    x = 20,892,569,163,921/2,997,471
  6. Step 6: Final answer
    x = 6,970,065.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.