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Finding the Third Proportional to 1,538,038 and 3,312,739

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Solution

The third proportional to 1,538,038 and 3,312,739 is: 7,135,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,038 : 3,312,739 = 3,312,739 : x
  2. Step 2: Convert to fraction form
    1,538,038/3,312,739 = 3,312,739/x
  3. Step 3: Cross multiply
    1,538,038x = 3,312,739 × 3,312,739
  4. Step 4: Simplify right side
    1,538,038x = 10,974,239,682,121
  5. Step 5: Solve for x
    x = 10,974,239,682,121/1,538,038
  6. Step 6: Final answer
    x = 7,135,220.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.