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Finding the Third Proportional to 772,968 and 1,068,072

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Solution

The third proportional to 772,968 and 1,068,072 is: 1,475,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,968 : 1,068,072 = 1,068,072 : x
  2. Step 2: Convert to fraction form
    772,968/1,068,072 = 1,068,072/x
  3. Step 3: Cross multiply
    772,968x = 1,068,072 × 1,068,072
  4. Step 4: Simplify right side
    772,968x = 1,140,777,797,184
  5. Step 5: Solve for x
    x = 1,140,777,797,184/772,968
  6. Step 6: Final answer
    x = 1,475,840.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.