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Finding the Third Proportional to 1,504,959 and 3,214,038

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Solution

The third proportional to 1,504,959 and 3,214,038 is: 6,864,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,959 : 3,214,038 = 3,214,038 : x
  2. Step 2: Convert to fraction form
    1,504,959/3,214,038 = 3,214,038/x
  3. Step 3: Cross multiply
    1,504,959x = 3,214,038 × 3,214,038
  4. Step 4: Simplify right side
    1,504,959x = 10,330,040,265,444
  5. Step 5: Solve for x
    x = 10,330,040,265,444/1,504,959
  6. Step 6: Final answer
    x = 6,864,001.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.