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Finding the Third Proportional to 772,768 and 1,018,608

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Solution

The third proportional to 772,768 and 1,018,608 is: 1,342,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,768 : 1,018,608 = 1,018,608 : x
  2. Step 2: Convert to fraction form
    772,768/1,018,608 = 1,018,608/x
  3. Step 3: Cross multiply
    772,768x = 1,018,608 × 1,018,608
  4. Step 4: Simplify right side
    772,768x = 1,037,562,257,664
  5. Step 5: Solve for x
    x = 1,037,562,257,664/772,768
  6. Step 6: Final answer
    x = 1,342,656.86

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.