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Finding the Third Proportional to 4,819,413 and 6,425,166

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Solution

The third proportional to 4,819,413 and 6,425,166 is: 8,565,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819,413 : 6,425,166 = 6,425,166 : x
  2. Step 2: Convert to fraction form
    4,819,413/6,425,166 = 6,425,166/x
  3. Step 3: Cross multiply
    4,819,413x = 6,425,166 × 6,425,166
  4. Step 4: Simplify right side
    4,819,413x = 41,282,758,127,556
  5. Step 5: Solve for x
    x = 41,282,758,127,556/4,819,413
  6. Step 6: Final answer
    x = 8,565,930.77

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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.