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Finding the Third Proportional to 657,936 and 1,413,774

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Solution

The third proportional to 657,936 and 1,413,774 is: 3,037,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,936 : 1,413,774 = 1,413,774 : x
  2. Step 2: Convert to fraction form
    657,936/1,413,774 = 1,413,774/x
  3. Step 3: Cross multiply
    657,936x = 1,413,774 × 1,413,774
  4. Step 4: Simplify right side
    657,936x = 1,998,756,923,076
  5. Step 5: Solve for x
    x = 1,998,756,923,076/657,936
  6. Step 6: Final answer
    x = 3,037,919.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.