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Finding the Third Proportional to 671,037 and 1,016,328

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Solution

The third proportional to 671,037 and 1,016,328 is: 1,539,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,037 : 1,016,328 = 1,016,328 : x
  2. Step 2: Convert to fraction form
    671,037/1,016,328 = 1,016,328/x
  3. Step 3: Cross multiply
    671,037x = 1,016,328 × 1,016,328
  4. Step 4: Simplify right side
    671,037x = 1,032,922,603,584
  5. Step 5: Solve for x
    x = 1,032,922,603,584/671,037
  6. Step 6: Final answer
    x = 1,539,293.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.