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Finding the Third Proportional to 700,723 and 1,532,309

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Solution

The third proportional to 700,723 and 1,532,309 is: 3,350,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,723 : 1,532,309 = 1,532,309 : x
  2. Step 2: Convert to fraction form
    700,723/1,532,309 = 1,532,309/x
  3. Step 3: Cross multiply
    700,723x = 1,532,309 × 1,532,309
  4. Step 4: Simplify right side
    700,723x = 2,347,970,871,481
  5. Step 5: Solve for x
    x = 2,347,970,871,481/700,723
  6. Step 6: Final answer
    x = 3,350,783.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.