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Finding the Third Proportional to 769,636 and 1,124,662

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Solution

The third proportional to 769,636 and 1,124,662 is: 1,643,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,636 : 1,124,662 = 1,124,662 : x
  2. Step 2: Convert to fraction form
    769,636/1,124,662 = 1,124,662/x
  3. Step 3: Cross multiply
    769,636x = 1,124,662 × 1,124,662
  4. Step 4: Simplify right side
    769,636x = 1,264,864,614,244
  5. Step 5: Solve for x
    x = 1,264,864,614,244/769,636
  6. Step 6: Final answer
    x = 1,643,458.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.