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Finding the Third Proportional to 593,532 and 1,257,690

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Solution

The third proportional to 593,532 and 1,257,690 is: 2,665,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,532 : 1,257,690 = 1,257,690 : x
  2. Step 2: Convert to fraction form
    593,532/1,257,690 = 1,257,690/x
  3. Step 3: Cross multiply
    593,532x = 1,257,690 × 1,257,690
  4. Step 4: Simplify right side
    593,532x = 1,581,784,136,100
  5. Step 5: Solve for x
    x = 1,581,784,136,100/593,532
  6. Step 6: Final answer
    x = 2,665,035.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.