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Finding the Third Proportional to 701,897.25 and 1,436,994.75

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Solution

The third proportional to 701,897.25 and 1,436,994.75 is: 2,941,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,897.25 : 1,436,994.75 = 1,436,994.75 : x
  2. Step 2: Convert to fraction form
    701,897.25/1,436,994.75 = 1,436,994.75/x
  3. Step 3: Cross multiply
    701,897.25x = 1,436,994.75 × 1,436,994.75
  4. Step 4: Simplify right side
    701,897.25x = 2,064,953,911,527.56
  5. Step 5: Solve for x
    x = 2,064,953,911,527.56/701,897.25
  6. Step 6: Final answer
    x = 2,941,960.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.