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Finding the Third Proportional to 593,226 and 1,270,521

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Solution

The third proportional to 593,226 and 1,270,521 is: 2,721,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,226 : 1,270,521 = 1,270,521 : x
  2. Step 2: Convert to fraction form
    593,226/1,270,521 = 1,270,521/x
  3. Step 3: Cross multiply
    593,226x = 1,270,521 × 1,270,521
  4. Step 4: Simplify right side
    593,226x = 1,614,223,611,441
  5. Step 5: Solve for x
    x = 1,614,223,611,441/593,226
  6. Step 6: Final answer
    x = 2,721,093.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.