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Finding the Third Proportional to 588,790 and 933,842

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Solution

The third proportional to 588,790 and 933,842 is: 1,481,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,790 : 933,842 = 933,842 : x
  2. Step 2: Convert to fraction form
    588,790/933,842 = 933,842/x
  3. Step 3: Cross multiply
    588,790x = 933,842 × 933,842
  4. Step 4: Simplify right side
    588,790x = 872,060,880,964
  5. Step 5: Solve for x
    x = 872,060,880,964/588,790
  6. Step 6: Final answer
    x = 1,481,106.81

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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.