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Finding the Third Proportional to 1,369,200 and 3,053,220

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Solution

The third proportional to 1,369,200 and 3,053,220 is: 6,808,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,200 : 3,053,220 = 3,053,220 : x
  2. Step 2: Convert to fraction form
    1,369,200/3,053,220 = 3,053,220/x
  3. Step 3: Cross multiply
    1,369,200x = 3,053,220 × 3,053,220
  4. Step 4: Simplify right side
    1,369,200x = 9,322,152,368,400
  5. Step 5: Solve for x
    x = 9,322,152,368,400/1,369,200
  6. Step 6: Final answer
    x = 6,808,466.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.