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Finding the Third Proportional to 2,980,969 and 6,466,040

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Solution

The third proportional to 2,980,969 and 6,466,040 is: 14,025,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,969 : 6,466,040 = 6,466,040 : x
  2. Step 2: Convert to fraction form
    2,980,969/6,466,040 = 6,466,040/x
  3. Step 3: Cross multiply
    2,980,969x = 6,466,040 × 6,466,040
  4. Step 4: Simplify right side
    2,980,969x = 41,809,673,281,600
  5. Step 5: Solve for x
    x = 41,809,673,281,600/2,980,969
  6. Step 6: Final answer
    x = 14,025,531.05

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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.