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Finding the Third Proportional to 774,749 and 1,673,986

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Solution

The third proportional to 774,749 and 1,673,986 is: 3,616,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,749 : 1,673,986 = 1,673,986 : x
  2. Step 2: Convert to fraction form
    774,749/1,673,986 = 1,673,986/x
  3. Step 3: Cross multiply
    774,749x = 1,673,986 × 1,673,986
  4. Step 4: Simplify right side
    774,749x = 2,802,229,128,196
  5. Step 5: Solve for x
    x = 2,802,229,128,196/774,749
  6. Step 6: Final answer
    x = 3,616,950.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.