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Finding the Third Proportional to 706,336 and 1,533,080

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Solution

The third proportional to 706,336 and 1,533,080 is: 3,327,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,336 : 1,533,080 = 1,533,080 : x
  2. Step 2: Convert to fraction form
    706,336/1,533,080 = 1,533,080/x
  3. Step 3: Cross multiply
    706,336x = 1,533,080 × 1,533,080
  4. Step 4: Simplify right side
    706,336x = 2,350,334,286,400
  5. Step 5: Solve for x
    x = 2,350,334,286,400/706,336
  6. Step 6: Final answer
    x = 3,327,501.76

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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.