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Finding the Third Proportional to 706,298 and 1,533,000

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Solution

The third proportional to 706,298 and 1,533,000 is: 3,327,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,298 : 1,533,000 = 1,533,000 : x
  2. Step 2: Convert to fraction form
    706,298/1,533,000 = 1,533,000/x
  3. Step 3: Cross multiply
    706,298x = 1,533,000 × 1,533,000
  4. Step 4: Simplify right side
    706,298x = 2,350,089,000,000
  5. Step 5: Solve for x
    x = 2,350,089,000,000/706,298
  6. Step 6: Final answer
    x = 3,327,333.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.