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Finding the Third Proportional to 470,669.25 and 1,031,187

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Solution

The third proportional to 470,669.25 and 1,031,187 is: 2,259,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,669.25 : 1,031,187 = 1,031,187 : x
  2. Step 2: Convert to fraction form
    470,669.25/1,031,187 = 1,031,187/x
  3. Step 3: Cross multiply
    470,669.25x = 1,031,187 × 1,031,187
  4. Step 4: Simplify right side
    470,669.25x = 1,063,346,628,969
  5. Step 5: Solve for x
    x = 1,063,346,628,969/470,669.25
  6. Step 6: Final answer
    x = 2,259,222.65

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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.