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Finding the Third Proportional to 2,258,736 and 3,393,117

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Solution

The third proportional to 2,258,736 and 3,393,117 is: 5,097,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,736 : 3,393,117 = 3,393,117 : x
  2. Step 2: Convert to fraction form
    2,258,736/3,393,117 = 3,393,117/x
  3. Step 3: Cross multiply
    2,258,736x = 3,393,117 × 3,393,117
  4. Step 4: Simplify right side
    2,258,736x = 11,513,242,975,689
  5. Step 5: Solve for x
    x = 11,513,242,975,689/2,258,736
  6. Step 6: Final answer
    x = 5,097,206.13

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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.