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Finding the Third Proportional to 823,468 and 1,761,090

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Solution

The third proportional to 823,468 and 1,761,090 is: 3,766,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,468 : 1,761,090 = 1,761,090 : x
  2. Step 2: Convert to fraction form
    823,468/1,761,090 = 1,761,090/x
  3. Step 3: Cross multiply
    823,468x = 1,761,090 × 1,761,090
  4. Step 4: Simplify right side
    823,468x = 3,101,437,988,100
  5. Step 5: Solve for x
    x = 3,101,437,988,100/823,468
  6. Step 6: Final answer
    x = 3,766,312.70

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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.