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Finding the Third Proportional to 966,867 and 2,013,129

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Solution

The third proportional to 966,867 and 2,013,129 is: 4,191,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,867 : 2,013,129 = 2,013,129 : x
  2. Step 2: Convert to fraction form
    966,867/2,013,129 = 2,013,129/x
  3. Step 3: Cross multiply
    966,867x = 2,013,129 × 2,013,129
  4. Step 4: Simplify right side
    966,867x = 4,052,688,370,641
  5. Step 5: Solve for x
    x = 4,052,688,370,641/966,867
  6. Step 6: Final answer
    x = 4,191,567.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.