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Finding the Third Proportional to 1,697,778 and 2,546,666

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Solution

The third proportional to 1,697,778 and 2,546,666 is: 3,819,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,778 : 2,546,666 = 2,546,666 : x
  2. Step 2: Convert to fraction form
    1,697,778/2,546,666 = 2,546,666/x
  3. Step 3: Cross multiply
    1,697,778x = 2,546,666 × 2,546,666
  4. Step 4: Simplify right side
    1,697,778x = 6,485,507,715,556
  5. Step 5: Solve for x
    x = 6,485,507,715,556/1,697,778
  6. Step 6: Final answer
    x = 3,819,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.