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Finding the Third Proportional to 978,144 and 1,496,391

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Solution

The third proportional to 978,144 and 1,496,391 is: 2,289,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,144 : 1,496,391 = 1,496,391 : x
  2. Step 2: Convert to fraction form
    978,144/1,496,391 = 1,496,391/x
  3. Step 3: Cross multiply
    978,144x = 1,496,391 × 1,496,391
  4. Step 4: Simplify right side
    978,144x = 2,239,186,024,881
  5. Step 5: Solve for x
    x = 2,239,186,024,881/978,144
  6. Step 6: Final answer
    x = 2,289,219.20

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