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Finding the Third Proportional to 649,740 and 974,610

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Solution

The third proportional to 649,740 and 974,610 is: 1,461,915

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,740 : 974,610 = 974,610 : x
  2. Step 2: Convert to fraction form
    649,740/974,610 = 974,610/x
  3. Step 3: Cross multiply
    649,740x = 974,610 × 974,610
  4. Step 4: Simplify right side
    649,740x = 949,864,652,100
  5. Step 5: Solve for x
    x = 949,864,652,100/649,740
  6. Step 6: Final answer
    x = 1,461,915

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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.