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Finding the Third Proportional to 424,840 and 904,976

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Solution

The third proportional to 424,840 and 904,976 is: 1,927,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,840 : 904,976 = 904,976 : x
  2. Step 2: Convert to fraction form
    424,840/904,976 = 904,976/x
  3. Step 3: Cross multiply
    424,840x = 904,976 × 904,976
  4. Step 4: Simplify right side
    424,840x = 818,981,560,576
  5. Step 5: Solve for x
    x = 818,981,560,576/424,840
  6. Step 6: Final answer
    x = 1,927,741.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.