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Finding the Third Proportional to 4,819,424 and 6,425,184

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Solution

The third proportional to 4,819,424 and 6,425,184 is: 8,565,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819,424 : 6,425,184 = 6,425,184 : x
  2. Step 2: Convert to fraction form
    4,819,424/6,425,184 = 6,425,184/x
  3. Step 3: Cross multiply
    4,819,424x = 6,425,184 × 6,425,184
  4. Step 4: Simplify right side
    4,819,424x = 41,282,989,433,856
  5. Step 5: Solve for x
    x = 41,282,989,433,856/4,819,424
  6. Step 6: Final answer
    x = 8,565,959.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.