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Finding the Third Proportional to 775,478 and 1,164,036

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Solution

The third proportional to 775,478 and 1,164,036 is: 1,747,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,478 : 1,164,036 = 1,164,036 : x
  2. Step 2: Convert to fraction form
    775,478/1,164,036 = 1,164,036/x
  3. Step 3: Cross multiply
    775,478x = 1,164,036 × 1,164,036
  4. Step 4: Simplify right side
    775,478x = 1,354,979,809,296
  5. Step 5: Solve for x
    x = 1,354,979,809,296/775,478
  6. Step 6: Final answer
    x = 1,747,283.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.