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Finding the Third Proportional to 661,968 and 1,428,882

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Solution

The third proportional to 661,968 and 1,428,882 is: 3,084,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,968 : 1,428,882 = 1,428,882 : x
  2. Step 2: Convert to fraction form
    661,968/1,428,882 = 1,428,882/x
  3. Step 3: Cross multiply
    661,968x = 1,428,882 × 1,428,882
  4. Step 4: Simplify right side
    661,968x = 2,041,703,769,924
  5. Step 5: Solve for x
    x = 2,041,703,769,924/661,968
  6. Step 6: Final answer
    x = 3,084,293.76

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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.