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Finding the Third Proportional to 1,681,200 and 3,648,180

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Solution

The third proportional to 1,681,200 and 3,648,180 is: 7,916,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,200 : 3,648,180 = 3,648,180 : x
  2. Step 2: Convert to fraction form
    1,681,200/3,648,180 = 3,648,180/x
  3. Step 3: Cross multiply
    1,681,200x = 3,648,180 × 3,648,180
  4. Step 4: Simplify right side
    1,681,200x = 13,309,217,312,400
  5. Step 5: Solve for x
    x = 13,309,217,312,400/1,681,200
  6. Step 6: Final answer
    x = 7,916,498.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.