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Finding the Third Proportional to 1,064,645.63 and 2,308,974.75

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Solution

The third proportional to 1,064,645.63 and 2,308,974.75 is: 5,007,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,645.63 : 2,308,974.75 = 2,308,974.75 : x
  2. Step 2: Convert to fraction form
    1,064,645.63/2,308,974.75 = 2,308,974.75/x
  3. Step 3: Cross multiply
    1,064,645.63x = 2,308,974.75 × 2,308,974.75
  4. Step 4: Simplify right side
    1,064,645.63x = 5,331,364,396,137.56
  5. Step 5: Solve for x
    x = 5,331,364,396,137.56/1,064,645.63
  6. Step 6: Final answer
    x = 5,007,642.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.