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Finding the Third Proportional to 3,589,006.50 and 5,516,562.94

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Solution

The third proportional to 3,589,006.50 and 5,516,562.94 is: 8,479,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,006.50 : 5,516,562.94 = 5,516,562.94 : x
  2. Step 2: Convert to fraction form
    3,589,006.50/5,516,562.94 = 5,516,562.94/x
  3. Step 3: Cross multiply
    3,589,006.50x = 5,516,562.94 × 5,516,562.94
  4. Step 4: Simplify right side
    3,589,006.50x = 30,432,466,643,398.63
  5. Step 5: Solve for x
    x = 30,432,466,643,398.63/3,589,006.50
  6. Step 6: Final answer
    x = 8,479,356.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.