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Finding the Third Proportional to 986,525 and 2,122,774

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Solution

The third proportional to 986,525 and 2,122,774 is: 4,567,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,525 : 2,122,774 = 2,122,774 : x
  2. Step 2: Convert to fraction form
    986,525/2,122,774 = 2,122,774/x
  3. Step 3: Cross multiply
    986,525x = 2,122,774 × 2,122,774
  4. Step 4: Simplify right side
    986,525x = 4,506,169,455,076
  5. Step 5: Solve for x
    x = 4,506,169,455,076/986,525
  6. Step 6: Final answer
    x = 4,567,719.48

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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.