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Finding the Third Proportional to 903,190 and 1,329,836

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Solution

The third proportional to 903,190 and 1,329,836 is: 1,958,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,190 : 1,329,836 = 1,329,836 : x
  2. Step 2: Convert to fraction form
    903,190/1,329,836 = 1,329,836/x
  3. Step 3: Cross multiply
    903,190x = 1,329,836 × 1,329,836
  4. Step 4: Simplify right side
    903,190x = 1,768,463,786,896
  5. Step 5: Solve for x
    x = 1,768,463,786,896/903,190
  6. Step 6: Final answer
    x = 1,958,019.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.