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Finding the Third Proportional to 827,604 and 1,773,324

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Solution

The third proportional to 827,604 and 1,773,324 is: 3,799,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,604 : 1,773,324 = 1,773,324 : x
  2. Step 2: Convert to fraction form
    827,604/1,773,324 = 1,773,324/x
  3. Step 3: Cross multiply
    827,604x = 1,773,324 × 1,773,324
  4. Step 4: Simplify right side
    827,604x = 3,144,678,008,976
  5. Step 5: Solve for x
    x = 3,144,678,008,976/827,604
  6. Step 6: Final answer
    x = 3,799,737.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.