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Finding the Third Proportional to 776,832 and 1,049,562

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Solution

The third proportional to 776,832 and 1,049,562 is: 1,418,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,832 : 1,049,562 = 1,049,562 : x
  2. Step 2: Convert to fraction form
    776,832/1,049,562 = 1,049,562/x
  3. Step 3: Cross multiply
    776,832x = 1,049,562 × 1,049,562
  4. Step 4: Simplify right side
    776,832x = 1,101,580,391,844
  5. Step 5: Solve for x
    x = 1,101,580,391,844/776,832
  6. Step 6: Final answer
    x = 1,418,041.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.