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Finding the Third Proportional to 773,976 and 1,195,944

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Solution

The third proportional to 773,976 and 1,195,944 is: 1,847,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,976 : 1,195,944 = 1,195,944 : x
  2. Step 2: Convert to fraction form
    773,976/1,195,944 = 1,195,944/x
  3. Step 3: Cross multiply
    773,976x = 1,195,944 × 1,195,944
  4. Step 4: Simplify right side
    773,976x = 1,430,282,051,136
  5. Step 5: Solve for x
    x = 1,430,282,051,136/773,976
  6. Step 6: Final answer
    x = 1,847,966.93

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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.