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Finding the Third Proportional to 651,368 and 1,435,257

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Solution

The third proportional to 651,368 and 1,435,257 is: 3,162,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,368 : 1,435,257 = 1,435,257 : x
  2. Step 2: Convert to fraction form
    651,368/1,435,257 = 1,435,257/x
  3. Step 3: Cross multiply
    651,368x = 1,435,257 × 1,435,257
  4. Step 4: Simplify right side
    651,368x = 2,059,962,656,049
  5. Step 5: Solve for x
    x = 2,059,962,656,049/651,368
  6. Step 6: Final answer
    x = 3,162,517.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.