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Finding the Third Proportional to 772,033 and 1,171,172

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Solution

The third proportional to 772,033 and 1,171,172 is: 1,776,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,033 : 1,171,172 = 1,171,172 : x
  2. Step 2: Convert to fraction form
    772,033/1,171,172 = 1,171,172/x
  3. Step 3: Cross multiply
    772,033x = 1,171,172 × 1,171,172
  4. Step 4: Simplify right side
    772,033x = 1,371,643,853,584
  5. Step 5: Solve for x
    x = 1,371,643,853,584/772,033
  6. Step 6: Final answer
    x = 1,776,664.80

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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.