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Finding the Third Proportional to 799,406 and 1,712,768

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Solution

The third proportional to 799,406 and 1,712,768 is: 3,669,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,406 : 1,712,768 = 1,712,768 : x
  2. Step 2: Convert to fraction form
    799,406/1,712,768 = 1,712,768/x
  3. Step 3: Cross multiply
    799,406x = 1,712,768 × 1,712,768
  4. Step 4: Simplify right side
    799,406x = 2,933,574,221,824
  5. Step 5: Solve for x
    x = 2,933,574,221,824/799,406
  6. Step 6: Final answer
    x = 3,669,692.52

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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.