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Finding the Third Proportional to 775,953 and 1,164,996

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Solution

The third proportional to 775,953 and 1,164,996 is: 1,749,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,953 : 1,164,996 = 1,164,996 : x
  2. Step 2: Convert to fraction form
    775,953/1,164,996 = 1,164,996/x
  3. Step 3: Cross multiply
    775,953x = 1,164,996 × 1,164,996
  4. Step 4: Simplify right side
    775,953x = 1,357,215,680,016
  5. Step 5: Solve for x
    x = 1,357,215,680,016/775,953
  6. Step 6: Final answer
    x = 1,749,095.22

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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.