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Finding the Third Proportional to 366,871 and 794,786

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Solution

The third proportional to 366,871 and 794,786 is: 1,721,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,871 : 794,786 = 794,786 : x
  2. Step 2: Convert to fraction form
    366,871/794,786 = 794,786/x
  3. Step 3: Cross multiply
    366,871x = 794,786 × 794,786
  4. Step 4: Simplify right side
    366,871x = 631,684,785,796
  5. Step 5: Solve for x
    x = 631,684,785,796/366,871
  6. Step 6: Final answer
    x = 1,721,817.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.