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Finding the Third Proportional to 823,090 and 1,266,734

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Solution

The third proportional to 823,090 and 1,266,734 is: 1,949,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,090 : 1,266,734 = 1,266,734 : x
  2. Step 2: Convert to fraction form
    823,090/1,266,734 = 1,266,734/x
  3. Step 3: Cross multiply
    823,090x = 1,266,734 × 1,266,734
  4. Step 4: Simplify right side
    823,090x = 1,604,615,026,756
  5. Step 5: Solve for x
    x = 1,604,615,026,756/823,090
  6. Step 6: Final answer
    x = 1,949,501.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.