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Finding the Third Proportional to 921,942 and 1,385,586

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Solution

The third proportional to 921,942 and 1,385,586 is: 2,082,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,942 : 1,385,586 = 1,385,586 : x
  2. Step 2: Convert to fraction form
    921,942/1,385,586 = 1,385,586/x
  3. Step 3: Cross multiply
    921,942x = 1,385,586 × 1,385,586
  4. Step 4: Simplify right side
    921,942x = 1,919,848,563,396
  5. Step 5: Solve for x
    x = 1,919,848,563,396/921,942
  6. Step 6: Final answer
    x = 2,082,396.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.