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Finding the Third Proportional to 1,239,958.13 and 1,755,021.94

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Solution

The third proportional to 1,239,958.13 and 1,755,021.94 is: 2,484,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,958.13 : 1,755,021.94 = 1,755,021.94 : x
  2. Step 2: Convert to fraction form
    1,239,958.13/1,755,021.94 = 1,755,021.94/x
  3. Step 3: Cross multiply
    1,239,958.13x = 1,755,021.94 × 1,755,021.94
  4. Step 4: Simplify right side
    1,239,958.13x = 3,080,102,001,106.25
  5. Step 5: Solve for x
    x = 3,080,102,001,106.25/1,239,958.13
  6. Step 6: Final answer
    x = 2,484,037.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.