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Finding the Third Proportional to 593,640 and 1,320,156

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Solution

The third proportional to 593,640 and 1,320,156 is: 2,935,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,640 : 1,320,156 = 1,320,156 : x
  2. Step 2: Convert to fraction form
    593,640/1,320,156 = 1,320,156/x
  3. Step 3: Cross multiply
    593,640x = 1,320,156 × 1,320,156
  4. Step 4: Simplify right side
    593,640x = 1,742,811,864,336
  5. Step 5: Solve for x
    x = 1,742,811,864,336/593,640
  6. Step 6: Final answer
    x = 2,935,805.98

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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.