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Finding the Third Proportional to 1,099,705 and 2,299,905

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Solution

The third proportional to 1,099,705 and 2,299,905 is: 4,809,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,705 : 2,299,905 = 2,299,905 : x
  2. Step 2: Convert to fraction form
    1,099,705/2,299,905 = 2,299,905/x
  3. Step 3: Cross multiply
    1,099,705x = 2,299,905 × 2,299,905
  4. Step 4: Simplify right side
    1,099,705x = 5,289,563,009,025
  5. Step 5: Solve for x
    x = 5,289,563,009,025/1,099,705
  6. Step 6: Final answer
    x = 4,809,983.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.