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Finding the Third Proportional to 593,529 and 1,315,146

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Solution

The third proportional to 593,529 and 1,315,146 is: 2,914,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,529 : 1,315,146 = 1,315,146 : x
  2. Step 2: Convert to fraction form
    593,529/1,315,146 = 1,315,146/x
  3. Step 3: Cross multiply
    593,529x = 1,315,146 × 1,315,146
  4. Step 4: Simplify right side
    593,529x = 1,729,609,001,316
  5. Step 5: Solve for x
    x = 1,729,609,001,316/593,529
  6. Step 6: Final answer
    x = 2,914,110.35

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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.