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Finding the Third Proportional to 670,114 and 1,445,198

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Solution

The third proportional to 670,114 and 1,445,198 is: 3,116,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,114 : 1,445,198 = 1,445,198 : x
  2. Step 2: Convert to fraction form
    670,114/1,445,198 = 1,445,198/x
  3. Step 3: Cross multiply
    670,114x = 1,445,198 × 1,445,198
  4. Step 4: Simplify right side
    670,114x = 2,088,597,259,204
  5. Step 5: Solve for x
    x = 2,088,597,259,204/670,114
  6. Step 6: Final answer
    x = 3,116,779.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.