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Finding the Third Proportional to 4,170,354 and 6,240,424.50

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Solution

The third proportional to 4,170,354 and 6,240,424.50 is: 9,338,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170,354 : 6,240,424.50 = 6,240,424.50 : x
  2. Step 2: Convert to fraction form
    4,170,354/6,240,424.50 = 6,240,424.50/x
  3. Step 3: Cross multiply
    4,170,354x = 6,240,424.50 × 6,240,424.50
  4. Step 4: Simplify right side
    4,170,354x = 38,942,897,940,200.25
  5. Step 5: Solve for x
    x = 38,942,897,940,200.25/4,170,354
  6. Step 6: Final answer
    x = 9,338,031.72

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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.