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Finding the Third Proportional to 3,256,138.50 and 4,786,650

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Solution

The third proportional to 3,256,138.50 and 4,786,650 is: 7,036,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,138.50 : 4,786,650 = 4,786,650 : x
  2. Step 2: Convert to fraction form
    3,256,138.50/4,786,650 = 4,786,650/x
  3. Step 3: Cross multiply
    3,256,138.50x = 4,786,650 × 4,786,650
  4. Step 4: Simplify right side
    3,256,138.50x = 22,912,018,222,500
  5. Step 5: Solve for x
    x = 22,912,018,222,500/3,256,138.50
  6. Step 6: Final answer
    x = 7,036,561.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.