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Finding the Third Proportional to 966,764 and 2,120,152

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Solution

The third proportional to 966,764 and 2,120,152 is: 4,649,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,764 : 2,120,152 = 2,120,152 : x
  2. Step 2: Convert to fraction form
    966,764/2,120,152 = 2,120,152/x
  3. Step 3: Cross multiply
    966,764x = 2,120,152 × 2,120,152
  4. Step 4: Simplify right side
    966,764x = 4,495,044,503,104
  5. Step 5: Solve for x
    x = 4,495,044,503,104/966,764
  6. Step 6: Final answer
    x = 4,649,577.87

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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.