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Finding the Third Proportional to 972,006 and 2,120,884

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Solution

The third proportional to 972,006 and 2,120,884 is: 4,627,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,006 : 2,120,884 = 2,120,884 : x
  2. Step 2: Convert to fraction form
    972,006/2,120,884 = 2,120,884/x
  3. Step 3: Cross multiply
    972,006x = 2,120,884 × 2,120,884
  4. Step 4: Simplify right side
    972,006x = 4,498,148,941,456
  5. Step 5: Solve for x
    x = 4,498,148,941,456/972,006
  6. Step 6: Final answer
    x = 4,627,696.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.