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Finding the Third Proportional to 978,920 and 1,378,557

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Solution

The third proportional to 978,920 and 1,378,557 is: 1,941,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,920 : 1,378,557 = 1,378,557 : x
  2. Step 2: Convert to fraction form
    978,920/1,378,557 = 1,378,557/x
  3. Step 3: Cross multiply
    978,920x = 1,378,557 × 1,378,557
  4. Step 4: Simplify right side
    978,920x = 1,900,419,402,249
  5. Step 5: Solve for x
    x = 1,900,419,402,249/978,920
  6. Step 6: Final answer
    x = 1,941,342.91

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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.