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Finding the Third Proportional to 2,980,965 and 6,466,032

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Solution

The third proportional to 2,980,965 and 6,466,032 is: 14,025,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,965 : 6,466,032 = 6,466,032 : x
  2. Step 2: Convert to fraction form
    2,980,965/6,466,032 = 6,466,032/x
  3. Step 3: Cross multiply
    2,980,965x = 6,466,032 × 6,466,032
  4. Step 4: Simplify right side
    2,980,965x = 41,809,569,825,024
  5. Step 5: Solve for x
    x = 41,809,569,825,024/2,980,965
  6. Step 6: Final answer
    x = 14,025,515.17

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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.