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Finding the Third Proportional to 441,050 and 966,158

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Solution

The third proportional to 441,050 and 966,158 is: 2,116,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,050 : 966,158 = 966,158 : x
  2. Step 2: Convert to fraction form
    441,050/966,158 = 966,158/x
  3. Step 3: Cross multiply
    441,050x = 966,158 × 966,158
  4. Step 4: Simplify right side
    441,050x = 933,461,280,964
  5. Step 5: Solve for x
    x = 933,461,280,964/441,050
  6. Step 6: Final answer
    x = 2,116,452.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.