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Finding the Third Proportional to 651,387 and 1,435,293

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Solution

The third proportional to 651,387 and 1,435,293 is: 3,162,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,387 : 1,435,293 = 1,435,293 : x
  2. Step 2: Convert to fraction form
    651,387/1,435,293 = 1,435,293/x
  3. Step 3: Cross multiply
    651,387x = 1,435,293 × 1,435,293
  4. Step 4: Simplify right side
    651,387x = 2,060,065,995,849
  5. Step 5: Solve for x
    x = 2,060,065,995,849/651,387
  6. Step 6: Final answer
    x = 3,162,583.83

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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.