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Finding the Third Proportional to 456,364 and 941,816

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Solution

The third proportional to 456,364 and 941,816 is: 1,943,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,364 : 941,816 = 941,816 : x
  2. Step 2: Convert to fraction form
    456,364/941,816 = 941,816/x
  3. Step 3: Cross multiply
    456,364x = 941,816 × 941,816
  4. Step 4: Simplify right side
    456,364x = 887,017,377,856
  5. Step 5: Solve for x
    x = 887,017,377,856/456,364
  6. Step 6: Final answer
    x = 1,943,662.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.