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Finding the Third Proportional to 419,196 and 909,283

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Solution

The third proportional to 419,196 and 909,283 is: 1,972,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,196 : 909,283 = 909,283 : x
  2. Step 2: Convert to fraction form
    419,196/909,283 = 909,283/x
  3. Step 3: Cross multiply
    419,196x = 909,283 × 909,283
  4. Step 4: Simplify right side
    419,196x = 826,795,574,089
  5. Step 5: Solve for x
    x = 826,795,574,089/419,196
  6. Step 6: Final answer
    x = 1,972,336.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.