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Finding the Third Proportional to 700,683 and 1,532,223

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Solution

The third proportional to 700,683 and 1,532,223 is: 3,350,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,683 : 1,532,223 = 1,532,223 : x
  2. Step 2: Convert to fraction form
    700,683/1,532,223 = 1,532,223/x
  3. Step 3: Cross multiply
    700,683x = 1,532,223 × 1,532,223
  4. Step 4: Simplify right side
    700,683x = 2,347,707,321,729
  5. Step 5: Solve for x
    x = 2,347,707,321,729/700,683
  6. Step 6: Final answer
    x = 3,350,598.38

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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.