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Finding the Third Proportional to 1,705,716 and 3,532,200

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Solution

The third proportional to 1,705,716 and 3,532,200 is: 7,314,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,716 : 3,532,200 = 3,532,200 : x
  2. Step 2: Convert to fraction form
    1,705,716/3,532,200 = 3,532,200/x
  3. Step 3: Cross multiply
    1,705,716x = 3,532,200 × 3,532,200
  4. Step 4: Simplify right side
    1,705,716x = 12,476,436,840,000
  5. Step 5: Solve for x
    x = 12,476,436,840,000/1,705,716
  6. Step 6: Final answer
    x = 7,314,486.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.