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Finding the Third Proportional to 904,834.13 and 1,410,648.75

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Solution

The third proportional to 904,834.13 and 1,410,648.75 is: 2,199,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,834.13 : 1,410,648.75 = 1,410,648.75 : x
  2. Step 2: Convert to fraction form
    904,834.13/1,410,648.75 = 1,410,648.75/x
  3. Step 3: Cross multiply
    904,834.13x = 1,410,648.75 × 1,410,648.75
  4. Step 4: Simplify right side
    904,834.13x = 1,989,929,895,876.56
  5. Step 5: Solve for x
    x = 1,989,929,895,876.56/904,834.13
  6. Step 6: Final answer
    x = 2,199,220.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.