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Finding the Third Proportional to 978,936 and 1,378,560

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Solution

The third proportional to 978,936 and 1,378,560 is: 1,941,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,936 : 1,378,560 = 1,378,560 : x
  2. Step 2: Convert to fraction form
    978,936/1,378,560 = 1,378,560/x
  3. Step 3: Cross multiply
    978,936x = 1,378,560 × 1,378,560
  4. Step 4: Simplify right side
    978,936x = 1,900,427,673,600
  5. Step 5: Solve for x
    x = 1,900,427,673,600/978,936
  6. Step 6: Final answer
    x = 1,941,319.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.