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Finding the Third Proportional to 1,566,201 and 3,337,251

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Solution

The third proportional to 1,566,201 and 3,337,251 is: 7,110,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,201 : 3,337,251 = 3,337,251 : x
  2. Step 2: Convert to fraction form
    1,566,201/3,337,251 = 3,337,251/x
  3. Step 3: Cross multiply
    1,566,201x = 3,337,251 × 3,337,251
  4. Step 4: Simplify right side
    1,566,201x = 11,137,244,237,001
  5. Step 5: Solve for x
    x = 11,137,244,237,001/1,566,201
  6. Step 6: Final answer
    x = 7,110,992.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.