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Finding the Third Proportional to 998,376 and 1,510,308

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Solution

The third proportional to 998,376 and 1,510,308 is: 2,284,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,376 : 1,510,308 = 1,510,308 : x
  2. Step 2: Convert to fraction form
    998,376/1,510,308 = 1,510,308/x
  3. Step 3: Cross multiply
    998,376x = 1,510,308 × 1,510,308
  4. Step 4: Simplify right side
    998,376x = 2,281,030,254,864
  5. Step 5: Solve for x
    x = 2,281,030,254,864/998,376
  6. Step 6: Final answer
    x = 2,284,740.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.