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Finding the Third Proportional to 1,647,360 and 3,609,648

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Solution

The third proportional to 1,647,360 and 3,609,648 is: 7,909,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,360 : 3,609,648 = 3,609,648 : x
  2. Step 2: Convert to fraction form
    1,647,360/3,609,648 = 3,609,648/x
  3. Step 3: Cross multiply
    1,647,360x = 3,609,648 × 3,609,648
  4. Step 4: Simplify right side
    1,647,360x = 13,029,558,683,904
  5. Step 5: Solve for x
    x = 13,029,558,683,904/1,647,360
  6. Step 6: Final answer
    x = 7,909,357.20

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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.