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Finding the Third Proportional to 1,257,567 and 1,777,728

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Solution

The third proportional to 1,257,567 and 1,777,728 is: 2,513,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,567 : 1,777,728 = 1,777,728 : x
  2. Step 2: Convert to fraction form
    1,257,567/1,777,728 = 1,777,728/x
  3. Step 3: Cross multiply
    1,257,567x = 1,777,728 × 1,777,728
  4. Step 4: Simplify right side
    1,257,567x = 3,160,316,841,984
  5. Step 5: Solve for x
    x = 3,160,316,841,984/1,257,567
  6. Step 6: Final answer
    x = 2,513,040.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.