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Finding the Third Proportional to 649,848 and 974,772

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Solution

The third proportional to 649,848 and 974,772 is: 1,462,158

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,848 : 974,772 = 974,772 : x
  2. Step 2: Convert to fraction form
    649,848/974,772 = 974,772/x
  3. Step 3: Cross multiply
    649,848x = 974,772 × 974,772
  4. Step 4: Simplify right side
    649,848x = 950,180,451,984
  5. Step 5: Solve for x
    x = 950,180,451,984/649,848
  6. Step 6: Final answer
    x = 1,462,158

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Why These Related Problems?

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