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Finding the Third Proportional to 859,619 and 933,339

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Solution

The third proportional to 859,619 and 933,339 is: 1,013,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,619 : 933,339 = 933,339 : x
  2. Step 2: Convert to fraction form
    859,619/933,339 = 933,339/x
  3. Step 3: Cross multiply
    859,619x = 933,339 × 933,339
  4. Step 4: Simplify right side
    859,619x = 871,121,688,921
  5. Step 5: Solve for x
    x = 871,121,688,921/859,619
  6. Step 6: Final answer
    x = 1,013,381.15

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.