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Finding the Third Proportional to 829,593 and 1,776,690

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Solution

The third proportional to 829,593 and 1,776,690 is: 3,805,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,593 : 1,776,690 = 1,776,690 : x
  2. Step 2: Convert to fraction form
    829,593/1,776,690 = 1,776,690/x
  3. Step 3: Cross multiply
    829,593x = 1,776,690 × 1,776,690
  4. Step 4: Simplify right side
    829,593x = 3,156,627,356,100
  5. Step 5: Solve for x
    x = 3,156,627,356,100/829,593
  6. Step 6: Final answer
    x = 3,805,031.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.