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Finding the Third Proportional to 647,553 and 1,390,257

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Solution

The third proportional to 647,553 and 1,390,257 is: 2,984,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,553 : 1,390,257 = 1,390,257 : x
  2. Step 2: Convert to fraction form
    647,553/1,390,257 = 1,390,257/x
  3. Step 3: Cross multiply
    647,553x = 1,390,257 × 1,390,257
  4. Step 4: Simplify right side
    647,553x = 1,932,814,526,049
  5. Step 5: Solve for x
    x = 1,932,814,526,049/647,553
  6. Step 6: Final answer
    x = 2,984,797.42

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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.