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Finding the Third Proportional to 1,299,844 and 2,805,206

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Solution

The third proportional to 1,299,844 and 2,805,206 is: 6,053,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,844 : 2,805,206 = 2,805,206 : x
  2. Step 2: Convert to fraction form
    1,299,844/2,805,206 = 2,805,206/x
  3. Step 3: Cross multiply
    1,299,844x = 2,805,206 × 2,805,206
  4. Step 4: Simplify right side
    1,299,844x = 7,869,180,702,436
  5. Step 5: Solve for x
    x = 7,869,180,702,436/1,299,844
  6. Step 6: Final answer
    x = 6,053,942.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.