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Finding the Third Proportional to 1,070,745 and 1,576,512

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Solution

The third proportional to 1,070,745 and 1,576,512 is: 2,321,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,745 : 1,576,512 = 1,576,512 : x
  2. Step 2: Convert to fraction form
    1,070,745/1,576,512 = 1,576,512/x
  3. Step 3: Cross multiply
    1,070,745x = 1,576,512 × 1,576,512
  4. Step 4: Simplify right side
    1,070,745x = 2,485,390,086,144
  5. Step 5: Solve for x
    x = 2,485,390,086,144/1,070,745
  6. Step 6: Final answer
    x = 2,321,178.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.