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Finding the Third Proportional to 588,829 and 933,899

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Solution

The third proportional to 588,829 and 933,899 is: 1,481,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,829 : 933,899 = 933,899 : x
  2. Step 2: Convert to fraction form
    588,829/933,899 = 933,899/x
  3. Step 3: Cross multiply
    588,829x = 933,899 × 933,899
  4. Step 4: Simplify right side
    588,829x = 872,167,342,201
  5. Step 5: Solve for x
    x = 872,167,342,201/588,829
  6. Step 6: Final answer
    x = 1,481,189.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.