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Finding the Third Proportional to 446,441.63 and 976,718.25

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Solution

The third proportional to 446,441.63 and 976,718.25 is: 2,136,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,441.63 : 976,718.25 = 976,718.25 : x
  2. Step 2: Convert to fraction form
    446,441.63/976,718.25 = 976,718.25/x
  3. Step 3: Cross multiply
    446,441.63x = 976,718.25 × 976,718.25
  4. Step 4: Simplify right side
    446,441.63x = 953,978,539,883.06
  5. Step 5: Solve for x
    x = 953,978,539,883.06/446,441.63
  6. Step 6: Final answer
    x = 2,136,849.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.