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Finding the Third Proportional to 1,242,124 and 2,661,312

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Solution

The third proportional to 1,242,124 and 2,661,312 is: 5,701,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,124 : 2,661,312 = 2,661,312 : x
  2. Step 2: Convert to fraction form
    1,242,124/2,661,312 = 2,661,312/x
  3. Step 3: Cross multiply
    1,242,124x = 2,661,312 × 2,661,312
  4. Step 4: Simplify right side
    1,242,124x = 7,082,581,561,344
  5. Step 5: Solve for x
    x = 7,082,581,561,344/1,242,124
  6. Step 6: Final answer
    x = 5,701,992.36

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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.