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Finding the Third Proportional to 779,096 and 1,217,851

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Solution

The third proportional to 779,096 and 1,217,851 is: 1,903,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,096 : 1,217,851 = 1,217,851 : x
  2. Step 2: Convert to fraction form
    779,096/1,217,851 = 1,217,851/x
  3. Step 3: Cross multiply
    779,096x = 1,217,851 × 1,217,851
  4. Step 4: Simplify right side
    779,096x = 1,483,161,058,201
  5. Step 5: Solve for x
    x = 1,483,161,058,201/779,096
  6. Step 6: Final answer
    x = 1,903,694.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.