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Finding the Third Proportional to 3,018,684 and 4,516,057.50

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Solution

The third proportional to 3,018,684 and 4,516,057.50 is: 6,756,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018,684 : 4,516,057.50 = 4,516,057.50 : x
  2. Step 2: Convert to fraction form
    3,018,684/4,516,057.50 = 4,516,057.50/x
  3. Step 3: Cross multiply
    3,018,684x = 4,516,057.50 × 4,516,057.50
  4. Step 4: Simplify right side
    3,018,684x = 20,394,775,343,306.25
  5. Step 5: Solve for x
    x = 20,394,775,343,306.25/3,018,684
  6. Step 6: Final answer
    x = 6,756,180.95

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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.