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Finding the Third Proportional to 779,079 and 1,217,823

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Solution

The third proportional to 779,079 and 1,217,823 is: 1,903,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,079 : 1,217,823 = 1,217,823 : x
  2. Step 2: Convert to fraction form
    779,079/1,217,823 = 1,217,823/x
  3. Step 3: Cross multiply
    779,079x = 1,217,823 × 1,217,823
  4. Step 4: Simplify right side
    779,079x = 1,483,092,859,329
  5. Step 5: Solve for x
    x = 1,483,092,859,329/779,079
  6. Step 6: Final answer
    x = 1,903,648.87

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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.