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Finding the Third Proportional to 2,004,705 and 4,206,239

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Solution

The third proportional to 2,004,705 and 4,206,239 is: 8,825,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,705 : 4,206,239 = 4,206,239 : x
  2. Step 2: Convert to fraction form
    2,004,705/4,206,239 = 4,206,239/x
  3. Step 3: Cross multiply
    2,004,705x = 4,206,239 × 4,206,239
  4. Step 4: Simplify right side
    2,004,705x = 17,692,446,525,121
  5. Step 5: Solve for x
    x = 17,692,446,525,121/2,004,705
  6. Step 6: Final answer
    x = 8,825,461.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.