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Finding the Third Proportional to 983,790 and 1,504,233

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Solution

The third proportional to 983,790 and 1,504,233 is: 2,299,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,790 : 1,504,233 = 1,504,233 : x
  2. Step 2: Convert to fraction form
    983,790/1,504,233 = 1,504,233/x
  3. Step 3: Cross multiply
    983,790x = 1,504,233 × 1,504,233
  4. Step 4: Simplify right side
    983,790x = 2,262,716,918,289
  5. Step 5: Solve for x
    x = 2,262,716,918,289/983,790
  6. Step 6: Final answer
    x = 2,299,999.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.