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Finding the Third Proportional to 3,674,946 and 5,367,267

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Solution

The third proportional to 3,674,946 and 5,367,267 is: 7,838,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674,946 : 5,367,267 = 5,367,267 : x
  2. Step 2: Convert to fraction form
    3,674,946/5,367,267 = 5,367,267/x
  3. Step 3: Cross multiply
    3,674,946x = 5,367,267 × 5,367,267
  4. Step 4: Simplify right side
    3,674,946x = 28,807,555,049,289
  5. Step 5: Solve for x
    x = 28,807,555,049,289/3,674,946
  6. Step 6: Final answer
    x = 7,838,905.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.