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Finding the Third Proportional to 412,914 and 904,560

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Solution

The third proportional to 412,914 and 904,560 is: 1,981,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,914 : 904,560 = 904,560 : x
  2. Step 2: Convert to fraction form
    412,914/904,560 = 904,560/x
  3. Step 3: Cross multiply
    412,914x = 904,560 × 904,560
  4. Step 4: Simplify right side
    412,914x = 818,228,793,600
  5. Step 5: Solve for x
    x = 818,228,793,600/412,914
  6. Step 6: Final answer
    x = 1,981,596.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.