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Finding the Third Proportional to 2,980,974 and 6,466,048

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Solution

The third proportional to 2,980,974 and 6,466,048 is: 14,025,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,974 : 6,466,048 = 6,466,048 : x
  2. Step 2: Convert to fraction form
    2,980,974/6,466,048 = 6,466,048/x
  3. Step 3: Cross multiply
    2,980,974x = 6,466,048 × 6,466,048
  4. Step 4: Simplify right side
    2,980,974x = 41,809,776,738,304
  5. Step 5: Solve for x
    x = 41,809,776,738,304/2,980,974
  6. Step 6: Final answer
    x = 14,025,542.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.