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Finding the Third Proportional to 602,844 and 818,739

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Solution

The third proportional to 602,844 and 818,739 is: 1,111,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,844 : 818,739 = 818,739 : x
  2. Step 2: Convert to fraction form
    602,844/818,739 = 818,739/x
  3. Step 3: Cross multiply
    602,844x = 818,739 × 818,739
  4. Step 4: Simplify right side
    602,844x = 670,333,550,121
  5. Step 5: Solve for x
    x = 670,333,550,121/602,844
  6. Step 6: Final answer
    x = 1,111,951.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.