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Finding the Third Proportional to 451,206 and 963,298

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Solution

The third proportional to 451,206 and 963,298 is: 2,056,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,206 : 963,298 = 963,298 : x
  2. Step 2: Convert to fraction form
    451,206/963,298 = 963,298/x
  3. Step 3: Cross multiply
    451,206x = 963,298 × 963,298
  4. Step 4: Simplify right side
    451,206x = 927,943,036,804
  5. Step 5: Solve for x
    x = 927,943,036,804/451,206
  6. Step 6: Final answer
    x = 2,056,583.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.