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Finding the Third Proportional to 1,309,932 and 2,022,786

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Solution

The third proportional to 1,309,932 and 2,022,786 is: 3,123,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,932 : 2,022,786 = 2,022,786 : x
  2. Step 2: Convert to fraction form
    1,309,932/2,022,786 = 2,022,786/x
  3. Step 3: Cross multiply
    1,309,932x = 2,022,786 × 2,022,786
  4. Step 4: Simplify right side
    1,309,932x = 4,091,663,201,796
  5. Step 5: Solve for x
    x = 4,091,663,201,796/1,309,932
  6. Step 6: Final answer
    x = 3,123,569.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.