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Finding the Third Proportional to 3,569,574 and 5,438,013.50

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Solution

The third proportional to 3,569,574 and 5,438,013.50 is: 8,284,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,574 : 5,438,013.50 = 5,438,013.50 : x
  2. Step 2: Convert to fraction form
    3,569,574/5,438,013.50 = 5,438,013.50/x
  3. Step 3: Cross multiply
    3,569,574x = 5,438,013.50 × 5,438,013.50
  4. Step 4: Simplify right side
    3,569,574x = 29,571,990,826,182.25
  5. Step 5: Solve for x
    x = 29,571,990,826,182.25/3,569,574
  6. Step 6: Final answer
    x = 8,284,459.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.