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Finding the Third Proportional to 412,674 and 904,080

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Solution

The third proportional to 412,674 and 904,080 is: 1,980,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,674 : 904,080 = 904,080 : x
  2. Step 2: Convert to fraction form
    412,674/904,080 = 904,080/x
  3. Step 3: Cross multiply
    412,674x = 904,080 × 904,080
  4. Step 4: Simplify right side
    412,674x = 817,360,646,400
  5. Step 5: Solve for x
    x = 817,360,646,400/412,674
  6. Step 6: Final answer
    x = 1,980,644.88

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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.