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Finding the Third Proportional to 811,788 and 1,292,858

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Solution

The third proportional to 811,788 and 1,292,858 is: 2,059,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,788 : 1,292,858 = 1,292,858 : x
  2. Step 2: Convert to fraction form
    811,788/1,292,858 = 1,292,858/x
  3. Step 3: Cross multiply
    811,788x = 1,292,858 × 1,292,858
  4. Step 4: Simplify right side
    811,788x = 1,671,481,808,164
  5. Step 5: Solve for x
    x = 1,671,481,808,164/811,788
  6. Step 6: Final answer
    x = 2,059,012.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.