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Finding the Third Proportional to 766,777 and 1,202,943

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Solution

The third proportional to 766,777 and 1,202,943 is: 1,887,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,777 : 1,202,943 = 1,202,943 : x
  2. Step 2: Convert to fraction form
    766,777/1,202,943 = 1,202,943/x
  3. Step 3: Cross multiply
    766,777x = 1,202,943 × 1,202,943
  4. Step 4: Simplify right side
    766,777x = 1,447,071,861,249
  5. Step 5: Solve for x
    x = 1,447,071,861,249/766,777
  6. Step 6: Final answer
    x = 1,887,213.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.