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Finding the Third Proportional to 499,402 and 1,100,598

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Solution

The third proportional to 499,402 and 1,100,598 is: 2,425,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,402 : 1,100,598 = 1,100,598 : x
  2. Step 2: Convert to fraction form
    499,402/1,100,598 = 1,100,598/x
  3. Step 3: Cross multiply
    499,402x = 1,100,598 × 1,100,598
  4. Step 4: Simplify right side
    499,402x = 1,211,315,957,604
  5. Step 5: Solve for x
    x = 1,211,315,957,604/499,402
  6. Step 6: Final answer
    x = 2,425,532.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.