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Finding the Third Proportional to 772,628 and 1,229,408

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Solution

The third proportional to 772,628 and 1,229,408 is: 1,956,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,628 : 1,229,408 = 1,229,408 : x
  2. Step 2: Convert to fraction form
    772,628/1,229,408 = 1,229,408/x
  3. Step 3: Cross multiply
    772,628x = 1,229,408 × 1,229,408
  4. Step 4: Simplify right side
    772,628x = 1,511,444,030,464
  5. Step 5: Solve for x
    x = 1,511,444,030,464/772,628
  6. Step 6: Final answer
    x = 1,956,237.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.