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Finding the Third Proportional to 2,024,208 and 4,191,650

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Solution

The third proportional to 2,024,208 and 4,191,650 is: 8,679,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,208 : 4,191,650 = 4,191,650 : x
  2. Step 2: Convert to fraction form
    2,024,208/4,191,650 = 4,191,650/x
  3. Step 3: Cross multiply
    2,024,208x = 4,191,650 × 4,191,650
  4. Step 4: Simplify right side
    2,024,208x = 17,569,929,722,500
  5. Step 5: Solve for x
    x = 17,569,929,722,500/2,024,208
  6. Step 6: Final answer
    x = 8,679,903.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.