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Finding the Third Proportional to 964,703 and 2,100,838

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Solution

The third proportional to 964,703 and 2,100,838 is: 4,575,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,703 : 2,100,838 = 2,100,838 : x
  2. Step 2: Convert to fraction form
    964,703/2,100,838 = 2,100,838/x
  3. Step 3: Cross multiply
    964,703x = 2,100,838 × 2,100,838
  4. Step 4: Simplify right side
    964,703x = 4,413,520,302,244
  5. Step 5: Solve for x
    x = 4,413,520,302,244/964,703
  6. Step 6: Final answer
    x = 4,575,004.23

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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.