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Finding the Third Proportional to 3,258,819 and 4,930,162.50

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Solution

The third proportional to 3,258,819 and 4,930,162.50 is: 7,458,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258,819 : 4,930,162.50 = 4,930,162.50 : x
  2. Step 2: Convert to fraction form
    3,258,819/4,930,162.50 = 4,930,162.50/x
  3. Step 3: Cross multiply
    3,258,819x = 4,930,162.50 × 4,930,162.50
  4. Step 4: Simplify right side
    3,258,819x = 24,306,502,276,406.25
  5. Step 5: Solve for x
    x = 24,306,502,276,406.25/3,258,819
  6. Step 6: Final answer
    x = 7,458,684.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.