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Finding the Third Proportional to 374,852 and 822,656

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Solution

The third proportional to 374,852 and 822,656 is: 1,805,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,852 : 822,656 = 822,656 : x
  2. Step 2: Convert to fraction form
    374,852/822,656 = 822,656/x
  3. Step 3: Cross multiply
    374,852x = 822,656 × 822,656
  4. Step 4: Simplify right side
    374,852x = 676,762,894,336
  5. Step 5: Solve for x
    x = 676,762,894,336/374,852
  6. Step 6: Final answer
    x = 1,805,413.59

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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.