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Finding the Third Proportional to 2,099,905 and 3,257,749

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Solution

The third proportional to 2,099,905 and 3,257,749 is: 5,054,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,905 : 3,257,749 = 3,257,749 : x
  2. Step 2: Convert to fraction form
    2,099,905/3,257,749 = 3,257,749/x
  3. Step 3: Cross multiply
    2,099,905x = 3,257,749 × 3,257,749
  4. Step 4: Simplify right side
    2,099,905x = 10,612,928,547,001
  5. Step 5: Solve for x
    x = 10,612,928,547,001/2,099,905
  6. Step 6: Final answer
    x = 5,054,004.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.