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Finding the Third Proportional to 811,786 and 1,292,855

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Solution

The third proportional to 811,786 and 1,292,855 is: 2,059,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,786 : 1,292,855 = 1,292,855 : x
  2. Step 2: Convert to fraction form
    811,786/1,292,855 = 1,292,855/x
  3. Step 3: Cross multiply
    811,786x = 1,292,855 × 1,292,855
  4. Step 4: Simplify right side
    811,786x = 1,671,474,051,025
  5. Step 5: Solve for x
    x = 1,671,474,051,025/811,786
  6. Step 6: Final answer
    x = 2,059,008.23

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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.