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Finding the Third Proportional to 649,852 and 1,004,280

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Solution

The third proportional to 649,852 and 1,004,280 is: 1,552,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,852 : 1,004,280 = 1,004,280 : x
  2. Step 2: Convert to fraction form
    649,852/1,004,280 = 1,004,280/x
  3. Step 3: Cross multiply
    649,852x = 1,004,280 × 1,004,280
  4. Step 4: Simplify right side
    649,852x = 1,008,578,318,400
  5. Step 5: Solve for x
    x = 1,008,578,318,400/649,852
  6. Step 6: Final answer
    x = 1,552,012.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.