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Finding the Third Proportional to 808,768 and 1,683,200

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Solution

The third proportional to 808,768 and 1,683,200 is: 3,503,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,768 : 1,683,200 = 1,683,200 : x
  2. Step 2: Convert to fraction form
    808,768/1,683,200 = 1,683,200/x
  3. Step 3: Cross multiply
    808,768x = 1,683,200 × 1,683,200
  4. Step 4: Simplify right side
    808,768x = 2,833,162,240,000
  5. Step 5: Solve for x
    x = 2,833,162,240,000/808,768
  6. Step 6: Final answer
    x = 3,503,059.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.