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Finding the Third Proportional to 604,932 and 822,054

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Solution

The third proportional to 604,932 and 822,054 is: 1,117,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,932 : 822,054 = 822,054 : x
  2. Step 2: Convert to fraction form
    604,932/822,054 = 822,054/x
  3. Step 3: Cross multiply
    604,932x = 822,054 × 822,054
  4. Step 4: Simplify right side
    604,932x = 675,772,778,916
  5. Step 5: Solve for x
    x = 675,772,778,916/604,932
  6. Step 6: Final answer
    x = 1,117,105.36

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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.