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Finding the Third Proportional to 658,916 and 1,443,904

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Solution

The third proportional to 658,916 and 1,443,904 is: 3,164,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,916 : 1,443,904 = 1,443,904 : x
  2. Step 2: Convert to fraction form
    658,916/1,443,904 = 1,443,904/x
  3. Step 3: Cross multiply
    658,916x = 1,443,904 × 1,443,904
  4. Step 4: Simplify right side
    658,916x = 2,084,858,761,216
  5. Step 5: Solve for x
    x = 2,084,858,761,216/658,916
  6. Step 6: Final answer
    x = 3,164,073.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.