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Finding the Third Proportional to 403,581 and 848,989

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Solution

The third proportional to 403,581 and 848,989 is: 1,785,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,581 : 848,989 = 848,989 : x
  2. Step 2: Convert to fraction form
    403,581/848,989 = 848,989/x
  3. Step 3: Cross multiply
    403,581x = 848,989 × 848,989
  4. Step 4: Simplify right side
    403,581x = 720,782,322,121
  5. Step 5: Solve for x
    x = 720,782,322,121/403,581
  6. Step 6: Final answer
    x = 1,785,966.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.