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Finding the Third Proportional to 446,001 and 961,986

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Solution

The third proportional to 446,001 and 961,986 is: 2,074,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,001 : 961,986 = 961,986 : x
  2. Step 2: Convert to fraction form
    446,001/961,986 = 961,986/x
  3. Step 3: Cross multiply
    446,001x = 961,986 × 961,986
  4. Step 4: Simplify right side
    446,001x = 925,417,064,196
  5. Step 5: Solve for x
    x = 925,417,064,196/446,001
  6. Step 6: Final answer
    x = 2,074,921.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.