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Finding the Third Proportional to 758,642 and 1,139,979

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Solution

The third proportional to 758,642 and 1,139,979 is: 1,712,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,642 : 1,139,979 = 1,139,979 : x
  2. Step 2: Convert to fraction form
    758,642/1,139,979 = 1,139,979/x
  3. Step 3: Cross multiply
    758,642x = 1,139,979 × 1,139,979
  4. Step 4: Simplify right side
    758,642x = 1,299,552,120,441
  5. Step 5: Solve for x
    x = 1,299,552,120,441/758,642
  6. Step 6: Final answer
    x = 1,712,997.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.