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Finding the Third Proportional to 2,530,220 and 5,509,680

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Solution

The third proportional to 2,530,220 and 5,509,680 is: 11,997,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530,220 : 5,509,680 = 5,509,680 : x
  2. Step 2: Convert to fraction form
    2,530,220/5,509,680 = 5,509,680/x
  3. Step 3: Cross multiply
    2,530,220x = 5,509,680 × 5,509,680
  4. Step 4: Simplify right side
    2,530,220x = 30,356,573,702,400
  5. Step 5: Solve for x
    x = 30,356,573,702,400/2,530,220
  6. Step 6: Final answer
    x = 11,997,602.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.