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Finding the Third Proportional to 509,551 and 1,041,214

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Solution

The third proportional to 509,551 and 1,041,214 is: 2,127,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,551 : 1,041,214 = 1,041,214 : x
  2. Step 2: Convert to fraction form
    509,551/1,041,214 = 1,041,214/x
  3. Step 3: Cross multiply
    509,551x = 1,041,214 × 1,041,214
  4. Step 4: Simplify right side
    509,551x = 1,084,126,593,796
  5. Step 5: Solve for x
    x = 1,084,126,593,796/509,551
  6. Step 6: Final answer
    x = 2,127,611.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.