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Finding the Third Proportional to 834,889 and 1,787,835

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Solution

The third proportional to 834,889 and 1,787,835 is: 3,828,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,889 : 1,787,835 = 1,787,835 : x
  2. Step 2: Convert to fraction form
    834,889/1,787,835 = 1,787,835/x
  3. Step 3: Cross multiply
    834,889x = 1,787,835 × 1,787,835
  4. Step 4: Simplify right side
    834,889x = 3,196,353,987,225
  5. Step 5: Solve for x
    x = 3,196,353,987,225/834,889
  6. Step 6: Final answer
    x = 3,828,477.78

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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.