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Finding the Third Proportional to 2,749,809 and 6,047,829

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Solution

The third proportional to 2,749,809 and 6,047,829 is: 13,301,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749,809 : 6,047,829 = 6,047,829 : x
  2. Step 2: Convert to fraction form
    2,749,809/6,047,829 = 6,047,829/x
  3. Step 3: Cross multiply
    2,749,809x = 6,047,829 × 6,047,829
  4. Step 4: Simplify right side
    2,749,809x = 36,576,235,613,241
  5. Step 5: Solve for x
    x = 36,576,235,613,241/2,749,809
  6. Step 6: Final answer
    x = 13,301,373.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.