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Finding the Third Proportional to 443,298 and 949,614

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Solution

The third proportional to 443,298 and 949,614 is: 2,034,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,298 : 949,614 = 949,614 : x
  2. Step 2: Convert to fraction form
    443,298/949,614 = 949,614/x
  3. Step 3: Cross multiply
    443,298x = 949,614 × 949,614
  4. Step 4: Simplify right side
    443,298x = 901,766,748,996
  5. Step 5: Solve for x
    x = 901,766,748,996/443,298
  6. Step 6: Final answer
    x = 2,034,222.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.