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Finding the Third Proportional to 2,646,417 and 5,740,929

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Solution

The third proportional to 2,646,417 and 5,740,929 is: 12,453,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646,417 : 5,740,929 = 5,740,929 : x
  2. Step 2: Convert to fraction form
    2,646,417/5,740,929 = 5,740,929/x
  3. Step 3: Cross multiply
    2,646,417x = 5,740,929 × 5,740,929
  4. Step 4: Simplify right side
    2,646,417x = 32,958,265,783,041
  5. Step 5: Solve for x
    x = 32,958,265,783,041/2,646,417
  6. Step 6: Final answer
    x = 12,453,920.07

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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.