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Finding the Third Proportional to 2,095,376 and 4,574,568

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Solution

The third proportional to 2,095,376 and 4,574,568 is: 9,987,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,376 : 4,574,568 = 4,574,568 : x
  2. Step 2: Convert to fraction form
    2,095,376/4,574,568 = 4,574,568/x
  3. Step 3: Cross multiply
    2,095,376x = 4,574,568 × 4,574,568
  4. Step 4: Simplify right side
    2,095,376x = 20,926,672,386,624
  5. Step 5: Solve for x
    x = 20,926,672,386,624/2,095,376
  6. Step 6: Final answer
    x = 9,987,072.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.