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Finding the Third Proportional to 999,514 and 1,589,650

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Solution

The third proportional to 999,514 and 1,589,650 is: 2,528,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,514 : 1,589,650 = 1,589,650 : x
  2. Step 2: Convert to fraction form
    999,514/1,589,650 = 1,589,650/x
  3. Step 3: Cross multiply
    999,514x = 1,589,650 × 1,589,650
  4. Step 4: Simplify right side
    999,514x = 2,526,987,122,500
  5. Step 5: Solve for x
    x = 2,526,987,122,500/999,514
  6. Step 6: Final answer
    x = 2,528,215.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.