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Finding the Third Proportional to 1,681,180 and 3,648,128

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Solution

The third proportional to 1,681,180 and 3,648,128 is: 7,916,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,180 : 3,648,128 = 3,648,128 : x
  2. Step 2: Convert to fraction form
    1,681,180/3,648,128 = 3,648,128/x
  3. Step 3: Cross multiply
    1,681,180x = 3,648,128 × 3,648,128
  4. Step 4: Simplify right side
    1,681,180x = 13,308,837,904,384
  5. Step 5: Solve for x
    x = 13,308,837,904,384/1,681,180
  6. Step 6: Final answer
    x = 7,916,367.02

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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.