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Finding the Third Proportional to 978,911 and 1,378,551

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Solution

The third proportional to 978,911 and 1,378,551 is: 1,941,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,911 : 1,378,551 = 1,378,551 : x
  2. Step 2: Convert to fraction form
    978,911/1,378,551 = 1,378,551/x
  3. Step 3: Cross multiply
    978,911x = 1,378,551 × 1,378,551
  4. Step 4: Simplify right side
    978,911x = 1,900,402,859,601
  5. Step 5: Solve for x
    x = 1,900,402,859,601/978,911
  6. Step 6: Final answer
    x = 1,941,343.86

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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.