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Finding the Third Proportional to 661,896 and 1,428,747

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Solution

The third proportional to 661,896 and 1,428,747 is: 3,084,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,896 : 1,428,747 = 1,428,747 : x
  2. Step 2: Convert to fraction form
    661,896/1,428,747 = 1,428,747/x
  3. Step 3: Cross multiply
    661,896x = 1,428,747 × 1,428,747
  4. Step 4: Simplify right side
    661,896x = 2,041,317,990,009
  5. Step 5: Solve for x
    x = 2,041,317,990,009/661,896
  6. Step 6: Final answer
    x = 3,084,046.42

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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.