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Finding the Third Proportional to 1,242,126 and 2,661,309

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Solution

The third proportional to 1,242,126 and 2,661,309 is: 5,701,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,126 : 2,661,309 = 2,661,309 : x
  2. Step 2: Convert to fraction form
    1,242,126/2,661,309 = 2,661,309/x
  3. Step 3: Cross multiply
    1,242,126x = 2,661,309 × 2,661,309
  4. Step 4: Simplify right side
    1,242,126x = 7,082,565,593,481
  5. Step 5: Solve for x
    x = 7,082,565,593,481/1,242,126
  6. Step 6: Final answer
    x = 5,701,970.33

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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.