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Finding the Third Proportional to 522,727 and 1,133,966

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Solution

The third proportional to 522,727 and 1,133,966 is: 2,459,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,727 : 1,133,966 = 1,133,966 : x
  2. Step 2: Convert to fraction form
    522,727/1,133,966 = 1,133,966/x
  3. Step 3: Cross multiply
    522,727x = 1,133,966 × 1,133,966
  4. Step 4: Simplify right side
    522,727x = 1,285,878,889,156
  5. Step 5: Solve for x
    x = 1,285,878,889,156/522,727
  6. Step 6: Final answer
    x = 2,459,943.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.