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Finding the Third Proportional to 435,322 and 910,004

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Solution

The third proportional to 435,322 and 910,004 is: 1,902,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,322 : 910,004 = 910,004 : x
  2. Step 2: Convert to fraction form
    435,322/910,004 = 910,004/x
  3. Step 3: Cross multiply
    435,322x = 910,004 × 910,004
  4. Step 4: Simplify right side
    435,322x = 828,107,280,016
  5. Step 5: Solve for x
    x = 828,107,280,016/435,322
  6. Step 6: Final answer
    x = 1,902,286.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.