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Finding the Third Proportional to 1,073,456 and 2,297,248

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Solution

The third proportional to 1,073,456 and 2,297,248 is: 4,916,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,456 : 2,297,248 = 2,297,248 : x
  2. Step 2: Convert to fraction form
    1,073,456/2,297,248 = 2,297,248/x
  3. Step 3: Cross multiply
    1,073,456x = 2,297,248 × 2,297,248
  4. Step 4: Simplify right side
    1,073,456x = 5,277,348,373,504
  5. Step 5: Solve for x
    x = 5,277,348,373,504/1,073,456
  6. Step 6: Final answer
    x = 4,916,222.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.