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Finding the Third Proportional to 436,258 and 922,816

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Solution

The third proportional to 436,258 and 922,816 is: 1,952,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,258 : 922,816 = 922,816 : x
  2. Step 2: Convert to fraction form
    436,258/922,816 = 922,816/x
  3. Step 3: Cross multiply
    436,258x = 922,816 × 922,816
  4. Step 4: Simplify right side
    436,258x = 851,589,369,856
  5. Step 5: Solve for x
    x = 851,589,369,856/436,258
  6. Step 6: Final answer
    x = 1,952,031.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.