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Finding the Third Proportional to 923,506 and 1,381,542

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Solution

The third proportional to 923,506 and 1,381,542 is: 2,066,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,506 : 1,381,542 = 1,381,542 : x
  2. Step 2: Convert to fraction form
    923,506/1,381,542 = 1,381,542/x
  3. Step 3: Cross multiply
    923,506x = 1,381,542 × 1,381,542
  4. Step 4: Simplify right side
    923,506x = 1,908,658,297,764
  5. Step 5: Solve for x
    x = 1,908,658,297,764/923,506
  6. Step 6: Final answer
    x = 2,066,752.46

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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.