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Finding the Third Proportional to 1,567,313 and 3,201,041

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Solution

The third proportional to 1,567,313 and 3,201,041 is: 6,537,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,313 : 3,201,041 = 3,201,041 : x
  2. Step 2: Convert to fraction form
    1,567,313/3,201,041 = 3,201,041/x
  3. Step 3: Cross multiply
    1,567,313x = 3,201,041 × 3,201,041
  4. Step 4: Simplify right side
    1,567,313x = 10,246,663,483,681
  5. Step 5: Solve for x
    x = 10,246,663,483,681/1,567,313
  6. Step 6: Final answer
    x = 6,537,726.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.