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Finding the Third Proportional to 2,874,324 and 6,258,951

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Solution

The third proportional to 2,874,324 and 6,258,951 is: 13,629,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874,324 : 6,258,951 = 6,258,951 : x
  2. Step 2: Convert to fraction form
    2,874,324/6,258,951 = 6,258,951/x
  3. Step 3: Cross multiply
    2,874,324x = 6,258,951 × 6,258,951
  4. Step 4: Simplify right side
    2,874,324x = 39,174,467,620,401
  5. Step 5: Solve for x
    x = 39,174,467,620,401/2,874,324
  6. Step 6: Final answer
    x = 13,629,106.40

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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.