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Finding the Third Proportional to 463,352.06 and 1,001,647.69

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Solution

The third proportional to 463,352.06 and 1,001,647.69 is: 2,165,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,352.06 : 1,001,647.69 = 1,001,647.69 : x
  2. Step 2: Convert to fraction form
    463,352.06/1,001,647.69 = 1,001,647.69/x
  3. Step 3: Cross multiply
    463,352.06x = 1,001,647.69 × 1,001,647.69
  4. Step 4: Simplify right side
    463,352.06x = 1,003,298,089,874.10
  5. Step 5: Solve for x
    x = 1,003,298,089,874.10/463,352.06
  6. Step 6: Final answer
    x = 2,165,304.03

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Why These Related Problems?

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