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Finding the Third Proportional to 2,976,460 and 6,520,450

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Solution

The third proportional to 2,976,460 and 6,520,450 is: 14,284,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,460 : 6,520,450 = 6,520,450 : x
  2. Step 2: Convert to fraction form
    2,976,460/6,520,450 = 6,520,450/x
  3. Step 3: Cross multiply
    2,976,460x = 6,520,450 × 6,520,450
  4. Step 4: Simplify right side
    2,976,460x = 42,516,268,202,500
  5. Step 5: Solve for x
    x = 42,516,268,202,500/2,976,460
  6. Step 6: Final answer
    x = 14,284,172.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.