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Finding the Third Proportional to 511,656.75 and 1,108,459.69

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Solution

The third proportional to 511,656.75 and 1,108,459.69 is: 2,401,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,656.75 : 1,108,459.69 = 1,108,459.69 : x
  2. Step 2: Convert to fraction form
    511,656.75/1,108,459.69 = 1,108,459.69/x
  3. Step 3: Cross multiply
    511,656.75x = 1,108,459.69 × 1,108,459.69
  4. Step 4: Simplify right side
    511,656.75x = 1,228,682,878,812.60
  5. Step 5: Solve for x
    x = 1,228,682,878,812.60/511,656.75
  6. Step 6: Final answer
    x = 2,401,381.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.