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Finding the Third Proportional to 859,617 and 933,337

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Solution

The third proportional to 859,617 and 933,337 is: 1,013,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,617 : 933,337 = 933,337 : x
  2. Step 2: Convert to fraction form
    859,617/933,337 = 933,337/x
  3. Step 3: Cross multiply
    859,617x = 933,337 × 933,337
  4. Step 4: Simplify right side
    859,617x = 871,117,955,569
  5. Step 5: Solve for x
    x = 871,117,955,569/859,617
  6. Step 6: Final answer
    x = 1,013,379.16

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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.