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Finding the Third Proportional to 710,112 and 998,819.81

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Solution

The third proportional to 710,112 and 998,819.81 is: 1,404,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,112 : 998,819.81 = 998,819.81 : x
  2. Step 2: Convert to fraction form
    710,112/998,819.81 = 998,819.81/x
  3. Step 3: Cross multiply
    710,112x = 998,819.81 × 998,819.81
  4. Step 4: Simplify right side
    710,112x = 997,641,017,842.54
  5. Step 5: Solve for x
    x = 997,641,017,842.54/710,112
  6. Step 6: Final answer
    x = 1,404,906.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.