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Finding the Third Proportional to 593,644 and 1,320,164

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Solution

The third proportional to 593,644 and 1,320,164 is: 2,935,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,644 : 1,320,164 = 1,320,164 : x
  2. Step 2: Convert to fraction form
    593,644/1,320,164 = 1,320,164/x
  3. Step 3: Cross multiply
    593,644x = 1,320,164 × 1,320,164
  4. Step 4: Simplify right side
    593,644x = 1,742,832,986,896
  5. Step 5: Solve for x
    x = 1,742,832,986,896/593,644
  6. Step 6: Final answer
    x = 2,935,821.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.