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Finding the Third Proportional to 1,267,656 and 2,762,768

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Solution

The third proportional to 1,267,656 and 2,762,768 is: 6,021,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,656 : 2,762,768 = 2,762,768 : x
  2. Step 2: Convert to fraction form
    1,267,656/2,762,768 = 2,762,768/x
  3. Step 3: Cross multiply
    1,267,656x = 2,762,768 × 2,762,768
  4. Step 4: Simplify right side
    1,267,656x = 7,632,887,021,824
  5. Step 5: Solve for x
    x = 7,632,887,021,824/1,267,656
  6. Step 6: Final answer
    x = 6,021,260.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.