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Finding the Third Proportional to 594,132 and 1,237,224

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Solution

The third proportional to 594,132 and 1,237,224 is: 2,576,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,132 : 1,237,224 = 1,237,224 : x
  2. Step 2: Convert to fraction form
    594,132/1,237,224 = 1,237,224/x
  3. Step 3: Cross multiply
    594,132x = 1,237,224 × 1,237,224
  4. Step 4: Simplify right side
    594,132x = 1,530,723,226,176
  5. Step 5: Solve for x
    x = 1,530,723,226,176/594,132
  6. Step 6: Final answer
    x = 2,576,402.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.