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Finding the Third Proportional to 547,824 and 1,195,295

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Solution

The third proportional to 547,824 and 1,195,295 is: 2,608,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,824 : 1,195,295 = 1,195,295 : x
  2. Step 2: Convert to fraction form
    547,824/1,195,295 = 1,195,295/x
  3. Step 3: Cross multiply
    547,824x = 1,195,295 × 1,195,295
  4. Step 4: Simplify right side
    547,824x = 1,428,730,137,025
  5. Step 5: Solve for x
    x = 1,428,730,137,025/547,824
  6. Step 6: Final answer
    x = 2,608,009.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.