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Finding the Third Proportional to 1,206,838 and 2,644,101

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Solution

The third proportional to 1,206,838 and 2,644,101 is: 5,793,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,838 : 2,644,101 = 2,644,101 : x
  2. Step 2: Convert to fraction form
    1,206,838/2,644,101 = 2,644,101/x
  3. Step 3: Cross multiply
    1,206,838x = 2,644,101 × 2,644,101
  4. Step 4: Simplify right side
    1,206,838x = 6,991,270,098,201
  5. Step 5: Solve for x
    x = 6,991,270,098,201/1,206,838
  6. Step 6: Final answer
    x = 5,793,047.70

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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.