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Finding the Third Proportional to 579,870 and 867,102

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Solution

The third proportional to 579,870 and 867,102 is: 1,296,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,870 : 867,102 = 867,102 : x
  2. Step 2: Convert to fraction form
    579,870/867,102 = 867,102/x
  3. Step 3: Cross multiply
    579,870x = 867,102 × 867,102
  4. Step 4: Simplify right side
    579,870x = 751,865,878,404
  5. Step 5: Solve for x
    x = 751,865,878,404/579,870
  6. Step 6: Final answer
    x = 1,296,611.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.