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Finding the Third Proportional to 1,327,480 and 2,896,016

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Solution

The third proportional to 1,327,480 and 2,896,016 is: 6,317,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,480 : 2,896,016 = 2,896,016 : x
  2. Step 2: Convert to fraction form
    1,327,480/2,896,016 = 2,896,016/x
  3. Step 3: Cross multiply
    1,327,480x = 2,896,016 × 2,896,016
  4. Step 4: Simplify right side
    1,327,480x = 8,386,908,672,256
  5. Step 5: Solve for x
    x = 8,386,908,672,256/1,327,480
  6. Step 6: Final answer
    x = 6,317,917.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.