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Finding the Third Proportional to 588,790 and 933,841

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Solution

The third proportional to 588,790 and 933,841 is: 1,481,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,790 : 933,841 = 933,841 : x
  2. Step 2: Convert to fraction form
    588,790/933,841 = 933,841/x
  3. Step 3: Cross multiply
    588,790x = 933,841 × 933,841
  4. Step 4: Simplify right side
    588,790x = 872,059,013,281
  5. Step 5: Solve for x
    x = 872,059,013,281/588,790
  6. Step 6: Final answer
    x = 1,481,103.64

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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.