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Finding the Third Proportional to 1,829,158 and 3,939,258.50

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Solution

The third proportional to 1,829,158 and 3,939,258.50 is: 8,483,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,158 : 3,939,258.50 = 3,939,258.50 : x
  2. Step 2: Convert to fraction form
    1,829,158/3,939,258.50 = 3,939,258.50/x
  3. Step 3: Cross multiply
    1,829,158x = 3,939,258.50 × 3,939,258.50
  4. Step 4: Simplify right side
    1,829,158x = 15,517,757,529,822.25
  5. Step 5: Solve for x
    x = 15,517,757,529,822.25/1,829,158
  6. Step 6: Final answer
    x = 8,483,552.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.