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Finding the Third Proportional to 2,874,322 and 6,258,946

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Solution

The third proportional to 2,874,322 and 6,258,946 is: 13,629,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874,322 : 6,258,946 = 6,258,946 : x
  2. Step 2: Convert to fraction form
    2,874,322/6,258,946 = 6,258,946/x
  3. Step 3: Cross multiply
    2,874,322x = 6,258,946 × 6,258,946
  4. Step 4: Simplify right side
    2,874,322x = 39,174,405,030,916
  5. Step 5: Solve for x
    x = 39,174,405,030,916/2,874,322
  6. Step 6: Final answer
    x = 13,629,094.11

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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.