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Finding the Third Proportional to 4,258,861 and 6,381,730

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Solution

The third proportional to 4,258,861 and 6,381,730 is: 9,562,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,861 : 6,381,730 = 6,381,730 : x
  2. Step 2: Convert to fraction form
    4,258,861/6,381,730 = 6,381,730/x
  3. Step 3: Cross multiply
    4,258,861x = 6,381,730 × 6,381,730
  4. Step 4: Simplify right side
    4,258,861x = 40,726,477,792,900
  5. Step 5: Solve for x
    x = 40,726,477,792,900/4,258,861
  6. Step 6: Final answer
    x = 9,562,762.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.