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Finding the Third Proportional to 1,706,200 and 3,733,808

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Solution

The third proportional to 1,706,200 and 3,733,808 is: 8,170,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,200 : 3,733,808 = 3,733,808 : x
  2. Step 2: Convert to fraction form
    1,706,200/3,733,808 = 3,733,808/x
  3. Step 3: Cross multiply
    1,706,200x = 3,733,808 × 3,733,808
  4. Step 4: Simplify right side
    1,706,200x = 13,941,322,180,864
  5. Step 5: Solve for x
    x = 13,941,322,180,864/1,706,200
  6. Step 6: Final answer
    x = 8,170,977.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.