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Finding the Third Proportional to 661,960 and 1,428,908

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Solution

The third proportional to 661,960 and 1,428,908 is: 3,084,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,960 : 1,428,908 = 1,428,908 : x
  2. Step 2: Convert to fraction form
    661,960/1,428,908 = 1,428,908/x
  3. Step 3: Cross multiply
    661,960x = 1,428,908 × 1,428,908
  4. Step 4: Simplify right side
    661,960x = 2,041,778,072,464
  5. Step 5: Solve for x
    x = 2,041,778,072,464/661,960
  6. Step 6: Final answer
    x = 3,084,443.28

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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.