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Finding the Third Proportional to 416,722 and 904,940

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Solution

The third proportional to 416,722 and 904,940 is: 1,965,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,722 : 904,940 = 904,940 : x
  2. Step 2: Convert to fraction form
    416,722/904,940 = 904,940/x
  3. Step 3: Cross multiply
    416,722x = 904,940 × 904,940
  4. Step 4: Simplify right side
    416,722x = 818,916,403,600
  5. Step 5: Solve for x
    x = 818,916,403,600/416,722
  6. Step 6: Final answer
    x = 1,965,138.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.