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Finding the Third Proportional to 3,390,666.50 and 5,086,006.50

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Solution

The third proportional to 3,390,666.50 and 5,086,006.50 is: 7,629,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390,666.50 : 5,086,006.50 = 5,086,006.50 : x
  2. Step 2: Convert to fraction form
    3,390,666.50/5,086,006.50 = 5,086,006.50/x
  3. Step 3: Cross multiply
    3,390,666.50x = 5,086,006.50 × 5,086,006.50
  4. Step 4: Simplify right side
    3,390,666.50x = 25,867,462,118,042.25
  5. Step 5: Solve for x
    x = 25,867,462,118,042.25/3,390,666.50
  6. Step 6: Final answer
    x = 7,629,019.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.