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Finding the Third Proportional to 671,039 and 1,016,331

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Solution

The third proportional to 671,039 and 1,016,331 is: 1,539,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,039 : 1,016,331 = 1,016,331 : x
  2. Step 2: Convert to fraction form
    671,039/1,016,331 = 1,016,331/x
  3. Step 3: Cross multiply
    671,039x = 1,016,331 × 1,016,331
  4. Step 4: Simplify right side
    671,039x = 1,032,928,701,561
  5. Step 5: Solve for x
    x = 1,032,928,701,561/671,039
  6. Step 6: Final answer
    x = 1,539,297.57

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Why These Related Problems?

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