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Finding the Third Proportional to 1,681,512 and 2,561,148

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Solution

The third proportional to 1,681,512 and 2,561,148 is: 3,900,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,512 : 2,561,148 = 2,561,148 : x
  2. Step 2: Convert to fraction form
    1,681,512/2,561,148 = 2,561,148/x
  3. Step 3: Cross multiply
    1,681,512x = 2,561,148 × 2,561,148
  4. Step 4: Simplify right side
    1,681,512x = 6,559,479,077,904
  5. Step 5: Solve for x
    x = 6,559,479,077,904/1,681,512
  6. Step 6: Final answer
    x = 3,900,940.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.