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Finding the Third Proportional to 1,421,973.75 and 2,012,049

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Solution

The third proportional to 1,421,973.75 and 2,012,049 is: 2,846,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,973.75 : 2,012,049 = 2,012,049 : x
  2. Step 2: Convert to fraction form
    1,421,973.75/2,012,049 = 2,012,049/x
  3. Step 3: Cross multiply
    1,421,973.75x = 2,012,049 × 2,012,049
  4. Step 4: Simplify right side
    1,421,973.75x = 4,048,341,178,401
  5. Step 5: Solve for x
    x = 4,048,341,178,401/1,421,973.75
  6. Step 6: Final answer
    x = 2,846,987.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.