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Finding the Third Proportional to 809,544 and 1,776,540

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Solution

The third proportional to 809,544 and 1,776,540 is: 3,898,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,544 : 1,776,540 = 1,776,540 : x
  2. Step 2: Convert to fraction form
    809,544/1,776,540 = 1,776,540/x
  3. Step 3: Cross multiply
    809,544x = 1,776,540 × 1,776,540
  4. Step 4: Simplify right side
    809,544x = 3,156,094,371,600
  5. Step 5: Solve for x
    x = 3,156,094,371,600/809,544
  6. Step 6: Final answer
    x = 3,898,607.58

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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.