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Finding the Third Proportional to 453,321 and 984,258

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Solution

The third proportional to 453,321 and 984,258 is: 2,137,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,321 : 984,258 = 984,258 : x
  2. Step 2: Convert to fraction form
    453,321/984,258 = 984,258/x
  3. Step 3: Cross multiply
    453,321x = 984,258 × 984,258
  4. Step 4: Simplify right side
    453,321x = 968,763,810,564
  5. Step 5: Solve for x
    x = 968,763,810,564/453,321
  6. Step 6: Final answer
    x = 2,137,037.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.