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Finding the Third Proportional to 671,261 and 1,016,642

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Solution

The third proportional to 671,261 and 1,016,642 is: 1,539,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,261 : 1,016,642 = 1,016,642 : x
  2. Step 2: Convert to fraction form
    671,261/1,016,642 = 1,016,642/x
  3. Step 3: Cross multiply
    671,261x = 1,016,642 × 1,016,642
  4. Step 4: Simplify right side
    671,261x = 1,033,560,956,164
  5. Step 5: Solve for x
    x = 1,033,560,956,164/671,261
  6. Step 6: Final answer
    x = 1,539,730.38

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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.