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Finding the Third Proportional to 986,300 and 2,124,961

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Solution

The third proportional to 986,300 and 2,124,961 is: 4,578,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,300 : 2,124,961 = 2,124,961 : x
  2. Step 2: Convert to fraction form
    986,300/2,124,961 = 2,124,961/x
  3. Step 3: Cross multiply
    986,300x = 2,124,961 × 2,124,961
  4. Step 4: Simplify right side
    986,300x = 4,515,459,251,521
  5. Step 5: Solve for x
    x = 4,515,459,251,521/986,300
  6. Step 6: Final answer
    x = 4,578,180.32

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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.