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Finding the Third Proportional to 1,301,197.50 and 2,819,583

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Solution

The third proportional to 1,301,197.50 and 2,819,583 is: 6,109,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,197.50 : 2,819,583 = 2,819,583 : x
  2. Step 2: Convert to fraction form
    1,301,197.50/2,819,583 = 2,819,583/x
  3. Step 3: Cross multiply
    1,301,197.50x = 2,819,583 × 2,819,583
  4. Step 4: Simplify right side
    1,301,197.50x = 7,950,048,293,889
  5. Step 5: Solve for x
    x = 7,950,048,293,889/1,301,197.50
  6. Step 6: Final answer
    x = 6,109,793.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.