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Finding the Third Proportional to 3,023,424 and 4,583,124

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Solution

The third proportional to 3,023,424 and 4,583,124 is: 6,947,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,424 : 4,583,124 = 4,583,124 : x
  2. Step 2: Convert to fraction form
    3,023,424/4,583,124 = 4,583,124/x
  3. Step 3: Cross multiply
    3,023,424x = 4,583,124 × 4,583,124
  4. Step 4: Simplify right side
    3,023,424x = 21,005,025,599,376
  5. Step 5: Solve for x
    x = 21,005,025,599,376/3,023,424
  6. Step 6: Final answer
    x = 6,947,429.67

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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.