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Finding the Third Proportional to 417,861 and 902,222

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Solution

The third proportional to 417,861 and 902,222 is: 1,948,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,861 : 902,222 = 902,222 : x
  2. Step 2: Convert to fraction form
    417,861/902,222 = 902,222/x
  3. Step 3: Cross multiply
    417,861x = 902,222 × 902,222
  4. Step 4: Simplify right side
    417,861x = 814,004,537,284
  5. Step 5: Solve for x
    x = 814,004,537,284/417,861
  6. Step 6: Final answer
    x = 1,948,027.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.