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Finding the Third Proportional to 651,414 and 1,435,344

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Solution

The third proportional to 651,414 and 1,435,344 is: 3,162,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,414 : 1,435,344 = 1,435,344 : x
  2. Step 2: Convert to fraction form
    651,414/1,435,344 = 1,435,344/x
  3. Step 3: Cross multiply
    651,414x = 1,435,344 × 1,435,344
  4. Step 4: Simplify right side
    651,414x = 2,060,212,398,336
  5. Step 5: Solve for x
    x = 2,060,212,398,336/651,414
  6. Step 6: Final answer
    x = 3,162,677.50

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