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Finding the Third Proportional to 861,728 and 1,765,248

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Solution

The third proportional to 861,728 and 1,765,248 is: 3,616,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,728 : 1,765,248 = 1,765,248 : x
  2. Step 2: Convert to fraction form
    861,728/1,765,248 = 1,765,248/x
  3. Step 3: Cross multiply
    861,728x = 1,765,248 × 1,765,248
  4. Step 4: Simplify right side
    861,728x = 3,116,100,501,504
  5. Step 5: Solve for x
    x = 3,116,100,501,504/861,728
  6. Step 6: Final answer
    x = 3,616,106.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.