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Finding the Third Proportional to 379,822 and 832,108

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Solution

The third proportional to 379,822 and 832,108 is: 1,822,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,822 : 832,108 = 832,108 : x
  2. Step 2: Convert to fraction form
    379,822/832,108 = 832,108/x
  3. Step 3: Cross multiply
    379,822x = 832,108 × 832,108
  4. Step 4: Simplify right side
    379,822x = 692,403,723,664
  5. Step 5: Solve for x
    x = 692,403,723,664/379,822
  6. Step 6: Final answer
    x = 1,822,968.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.