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Finding the Third Proportional to 966,908 and 2,120,440

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Solution

The third proportional to 966,908 and 2,120,440 is: 4,650,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,908 : 2,120,440 = 2,120,440 : x
  2. Step 2: Convert to fraction form
    966,908/2,120,440 = 2,120,440/x
  3. Step 3: Cross multiply
    966,908x = 2,120,440 × 2,120,440
  4. Step 4: Simplify right side
    966,908x = 4,496,265,793,600
  5. Step 5: Solve for x
    x = 4,496,265,793,600/966,908
  6. Step 6: Final answer
    x = 4,650,148.51

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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.