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Finding the Third Proportional to 772,036 and 1,171,174

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Solution

The third proportional to 772,036 and 1,171,174 is: 1,776,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,036 : 1,171,174 = 1,171,174 : x
  2. Step 2: Convert to fraction form
    772,036/1,171,174 = 1,171,174/x
  3. Step 3: Cross multiply
    772,036x = 1,171,174 × 1,171,174
  4. Step 4: Simplify right side
    772,036x = 1,371,648,538,276
  5. Step 5: Solve for x
    x = 1,371,648,538,276/772,036
  6. Step 6: Final answer
    x = 1,776,663.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.