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Finding the Third Proportional to 986,792 and 2,125,848

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Solution

The third proportional to 986,792 and 2,125,848 is: 4,579,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,792 : 2,125,848 = 2,125,848 : x
  2. Step 2: Convert to fraction form
    986,792/2,125,848 = 2,125,848/x
  3. Step 3: Cross multiply
    986,792x = 2,125,848 × 2,125,848
  4. Step 4: Simplify right side
    986,792x = 4,519,229,719,104
  5. Step 5: Solve for x
    x = 4,519,229,719,104/986,792
  6. Step 6: Final answer
    x = 4,579,718.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.