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Finding the Third Proportional to 3,010,423.50 and 4,291,410.75

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Solution

The third proportional to 3,010,423.50 and 4,291,410.75 is: 6,117,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010,423.50 : 4,291,410.75 = 4,291,410.75 : x
  2. Step 2: Convert to fraction form
    3,010,423.50/4,291,410.75 = 4,291,410.75/x
  3. Step 3: Cross multiply
    3,010,423.50x = 4,291,410.75 × 4,291,410.75
  4. Step 4: Simplify right side
    3,010,423.50x = 18,416,206,225,215.56
  5. Step 5: Solve for x
    x = 18,416,206,225,215.56/3,010,423.50
  6. Step 6: Final answer
    x = 6,117,480.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.