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Finding the Third Proportional to 1,299,842 and 2,805,201

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Solution

The third proportional to 1,299,842 and 2,805,201 is: 6,053,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,842 : 2,805,201 = 2,805,201 : x
  2. Step 2: Convert to fraction form
    1,299,842/2,805,201 = 2,805,201/x
  3. Step 3: Cross multiply
    1,299,842x = 2,805,201 × 2,805,201
  4. Step 4: Simplify right side
    1,299,842x = 7,869,152,650,401
  5. Step 5: Solve for x
    x = 7,869,152,650,401/1,299,842
  6. Step 6: Final answer
    x = 6,053,930.13

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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.