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Finding the Third Proportional to 470,678 and 1,031,205

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Solution

The third proportional to 470,678 and 1,031,205 is: 2,259,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,678 : 1,031,205 = 1,031,205 : x
  2. Step 2: Convert to fraction form
    470,678/1,031,205 = 1,031,205/x
  3. Step 3: Cross multiply
    470,678x = 1,031,205 × 1,031,205
  4. Step 4: Simplify right side
    470,678x = 1,063,383,752,025
  5. Step 5: Solve for x
    x = 1,063,383,752,025/470,678
  6. Step 6: Final answer
    x = 2,259,259.52

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