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Finding the Third Proportional to 1,293,415 and 2,669,862

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Solution

The third proportional to 1,293,415 and 2,669,862 is: 5,511,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,415 : 2,669,862 = 2,669,862 : x
  2. Step 2: Convert to fraction form
    1,293,415/2,669,862 = 2,669,862/x
  3. Step 3: Cross multiply
    1,293,415x = 2,669,862 × 2,669,862
  4. Step 4: Simplify right side
    1,293,415x = 7,128,163,099,044
  5. Step 5: Solve for x
    x = 7,128,163,099,044/1,293,415
  6. Step 6: Final answer
    x = 5,511,118.32

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.