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Finding the Third Proportional to 639,824 and 1,400,176

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Solution

The third proportional to 639,824 and 1,400,176 is: 3,064,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,824 : 1,400,176 = 1,400,176 : x
  2. Step 2: Convert to fraction form
    639,824/1,400,176 = 1,400,176/x
  3. Step 3: Cross multiply
    639,824x = 1,400,176 × 1,400,176
  4. Step 4: Simplify right side
    639,824x = 1,960,492,830,976
  5. Step 5: Solve for x
    x = 1,960,492,830,976/639,824
  6. Step 6: Final answer
    x = 3,064,112.68

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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.