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Finding the Third Proportional to 489,645 and 1,039,797

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Solution

The third proportional to 489,645 and 1,039,797 is: 2,208,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,645 : 1,039,797 = 1,039,797 : x
  2. Step 2: Convert to fraction form
    489,645/1,039,797 = 1,039,797/x
  3. Step 3: Cross multiply
    489,645x = 1,039,797 × 1,039,797
  4. Step 4: Simplify right side
    489,645x = 1,081,177,801,209
  5. Step 5: Solve for x
    x = 1,081,177,801,209/489,645
  6. Step 6: Final answer
    x = 2,208,085.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.