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Finding the Third Proportional to 966,040 and 2,118,704

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Solution

The third proportional to 966,040 and 2,118,704 is: 4,646,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,040 : 2,118,704 = 2,118,704 : x
  2. Step 2: Convert to fraction form
    966,040/2,118,704 = 2,118,704/x
  3. Step 3: Cross multiply
    966,040x = 2,118,704 × 2,118,704
  4. Step 4: Simplify right side
    966,040x = 4,488,906,639,616
  5. Step 5: Solve for x
    x = 4,488,906,639,616/966,040
  6. Step 6: Final answer
    x = 4,646,708.87

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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.