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Finding the Third Proportional to 773,964 and 1,195,922

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Solution

The third proportional to 773,964 and 1,195,922 is: 1,847,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,964 : 1,195,922 = 1,195,922 : x
  2. Step 2: Convert to fraction form
    773,964/1,195,922 = 1,195,922/x
  3. Step 3: Cross multiply
    773,964x = 1,195,922 × 1,195,922
  4. Step 4: Simplify right side
    773,964x = 1,430,229,430,084
  5. Step 5: Solve for x
    x = 1,430,229,430,084/773,964
  6. Step 6: Final answer
    x = 1,847,927.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.