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Finding the Third Proportional to 470,204 and 1,109,791

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Solution

The third proportional to 470,204 and 1,109,791 is: 2,619,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,204 : 1,109,791 = 1,109,791 : x
  2. Step 2: Convert to fraction form
    470,204/1,109,791 = 1,109,791/x
  3. Step 3: Cross multiply
    470,204x = 1,109,791 × 1,109,791
  4. Step 4: Simplify right side
    470,204x = 1,231,636,063,681
  5. Step 5: Solve for x
    x = 1,231,636,063,681/470,204
  6. Step 6: Final answer
    x = 2,619,365.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.