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Finding the Third Proportional to 978,174 and 1,503,711

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Solution

The third proportional to 978,174 and 1,503,711 is: 2,311,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,174 : 1,503,711 = 1,503,711 : x
  2. Step 2: Convert to fraction form
    978,174/1,503,711 = 1,503,711/x
  3. Step 3: Cross multiply
    978,174x = 1,503,711 × 1,503,711
  4. Step 4: Simplify right side
    978,174x = 2,261,146,771,521
  5. Step 5: Solve for x
    x = 2,261,146,771,521/978,174
  6. Step 6: Final answer
    x = 2,311,599.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.