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Finding the Third Proportional to 1,825,581 and 4,070,922

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Solution

The third proportional to 1,825,581 and 4,070,922 is: 9,077,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,581 : 4,070,922 = 4,070,922 : x
  2. Step 2: Convert to fraction form
    1,825,581/4,070,922 = 4,070,922/x
  3. Step 3: Cross multiply
    1,825,581x = 4,070,922 × 4,070,922
  4. Step 4: Simplify right side
    1,825,581x = 16,572,405,930,084
  5. Step 5: Solve for x
    x = 16,572,405,930,084/1,825,581
  6. Step 6: Final answer
    x = 9,077,880.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.