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Finding the Third Proportional to 687,208 and 1,476,032

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Solution

The third proportional to 687,208 and 1,476,032 is: 3,170,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,208 : 1,476,032 = 1,476,032 : x
  2. Step 2: Convert to fraction form
    687,208/1,476,032 = 1,476,032/x
  3. Step 3: Cross multiply
    687,208x = 1,476,032 × 1,476,032
  4. Step 4: Simplify right side
    687,208x = 2,178,670,465,024
  5. Step 5: Solve for x
    x = 2,178,670,465,024/687,208
  6. Step 6: Final answer
    x = 3,170,321.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.