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Finding the Third Proportional to 2,980,939.50 and 6,465,982.50

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Solution

The third proportional to 2,980,939.50 and 6,465,982.50 is: 14,025,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,939.50 : 6,465,982.50 = 6,465,982.50 : x
  2. Step 2: Convert to fraction form
    2,980,939.50/6,465,982.50 = 6,465,982.50/x
  3. Step 3: Cross multiply
    2,980,939.50x = 6,465,982.50 × 6,465,982.50
  4. Step 4: Simplify right side
    2,980,939.50x = 41,808,929,690,306.25
  5. Step 5: Solve for x
    x = 41,808,929,690,306.25/2,980,939.50
  6. Step 6: Final answer
    x = 14,025,420.41

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