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Finding the Third Proportional to 417,242 and 900,998

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Solution

The third proportional to 417,242 and 900,998 is: 1,945,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,242 : 900,998 = 900,998 : x
  2. Step 2: Convert to fraction form
    417,242/900,998 = 900,998/x
  3. Step 3: Cross multiply
    417,242x = 900,998 × 900,998
  4. Step 4: Simplify right side
    417,242x = 811,797,396,004
  5. Step 5: Solve for x
    x = 811,797,396,004/417,242
  6. Step 6: Final answer
    x = 1,945,627.23

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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.