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Finding the Third Proportional to 1,642,867.75 and 3,595,434.25

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Solution

The third proportional to 1,642,867.75 and 3,595,434.25 is: 7,868,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,867.75 : 3,595,434.25 = 3,595,434.25 : x
  2. Step 2: Convert to fraction form
    1,642,867.75/3,595,434.25 = 3,595,434.25/x
  3. Step 3: Cross multiply
    1,642,867.75x = 3,595,434.25 × 3,595,434.25
  4. Step 4: Simplify right side
    1,642,867.75x = 12,927,147,446,073.06
  5. Step 5: Solve for x
    x = 12,927,147,446,073.06/1,642,867.75
  6. Step 6: Final answer
    x = 7,868,647.64

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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.