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Finding the Third Proportional to 3,041,491 and 4,707,824

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Solution

The third proportional to 3,041,491 and 4,707,824 is: 7,287,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041,491 : 4,707,824 = 4,707,824 : x
  2. Step 2: Convert to fraction form
    3,041,491/4,707,824 = 4,707,824/x
  3. Step 3: Cross multiply
    3,041,491x = 4,707,824 × 4,707,824
  4. Step 4: Simplify right side
    3,041,491x = 22,163,606,814,976
  5. Step 5: Solve for x
    x = 22,163,606,814,976/3,041,491
  6. Step 6: Final answer
    x = 7,287,086.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.