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Finding the Third Proportional to 834,858 and 1,787,774

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Solution

The third proportional to 834,858 and 1,787,774 is: 3,828,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,858 : 1,787,774 = 1,787,774 : x
  2. Step 2: Convert to fraction form
    834,858/1,787,774 = 1,787,774/x
  3. Step 3: Cross multiply
    834,858x = 1,787,774 × 1,787,774
  4. Step 4: Simplify right side
    834,858x = 3,196,135,875,076
  5. Step 5: Solve for x
    x = 3,196,135,875,076/834,858
  6. Step 6: Final answer
    x = 3,828,358.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.