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Finding the Third Proportional to 596,512 and 1,262,113.50

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Solution

The third proportional to 596,512 and 1,262,113.50 is: 2,670,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,512 : 1,262,113.50 = 1,262,113.50 : x
  2. Step 2: Convert to fraction form
    596,512/1,262,113.50 = 1,262,113.50/x
  3. Step 3: Cross multiply
    596,512x = 1,262,113.50 × 1,262,113.50
  4. Step 4: Simplify right side
    596,512x = 1,592,930,486,882.25
  5. Step 5: Solve for x
    x = 1,592,930,486,882.25/596,512
  6. Step 6: Final answer
    x = 2,670,408.12

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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.