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Finding the Third Proportional to 978,840 and 1,378,440

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Solution

The third proportional to 978,840 and 1,378,440 is: 1,941,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,840 : 1,378,440 = 1,378,440 : x
  2. Step 2: Convert to fraction form
    978,840/1,378,440 = 1,378,440/x
  3. Step 3: Cross multiply
    978,840x = 1,378,440 × 1,378,440
  4. Step 4: Simplify right side
    978,840x = 1,900,096,833,600
  5. Step 5: Solve for x
    x = 1,900,096,833,600/978,840
  6. Step 6: Final answer
    x = 1,941,172.03

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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.