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Finding the Third Proportional to 4,219,243.50 and 6,301,071

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Solution

The third proportional to 4,219,243.50 and 6,301,071 is: 9,410,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219,243.50 : 6,301,071 = 6,301,071 : x
  2. Step 2: Convert to fraction form
    4,219,243.50/6,301,071 = 6,301,071/x
  3. Step 3: Cross multiply
    4,219,243.50x = 6,301,071 × 6,301,071
  4. Step 4: Simplify right side
    4,219,243.50x = 39,703,495,747,041
  5. Step 5: Solve for x
    x = 39,703,495,747,041/4,219,243.50
  6. Step 6: Final answer
    x = 9,410,098.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.