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Finding the Third Proportional to 594,405 and 902,961

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Solution

The third proportional to 594,405 and 902,961 is: 1,371,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,405 : 902,961 = 902,961 : x
  2. Step 2: Convert to fraction form
    594,405/902,961 = 902,961/x
  3. Step 3: Cross multiply
    594,405x = 902,961 × 902,961
  4. Step 4: Simplify right side
    594,405x = 815,338,567,521
  5. Step 5: Solve for x
    x = 815,338,567,521/594,405
  6. Step 6: Final answer
    x = 1,371,688.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.