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Finding the Third Proportional to 823,445 and 1,761,046

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Solution

The third proportional to 823,445 and 1,761,046 is: 3,766,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,445 : 1,761,046 = 1,761,046 : x
  2. Step 2: Convert to fraction form
    823,445/1,761,046 = 1,761,046/x
  3. Step 3: Cross multiply
    823,445x = 1,761,046 × 1,761,046
  4. Step 4: Simplify right side
    823,445x = 3,101,283,014,116
  5. Step 5: Solve for x
    x = 3,101,283,014,116/823,445
  6. Step 6: Final answer
    x = 3,766,229.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.