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Finding the Third Proportional to 986,977 and 1,487,762

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Solution

The third proportional to 986,977 and 1,487,762 is: 2,242,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,977 : 1,487,762 = 1,487,762 : x
  2. Step 2: Convert to fraction form
    986,977/1,487,762 = 1,487,762/x
  3. Step 3: Cross multiply
    986,977x = 1,487,762 × 1,487,762
  4. Step 4: Simplify right side
    986,977x = 2,213,435,768,644
  5. Step 5: Solve for x
    x = 2,213,435,768,644/986,977
  6. Step 6: Final answer
    x = 2,242,641.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.