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Finding the Third Proportional to 2,122,178 and 4,603,235

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Solution

The third proportional to 2,122,178 and 4,603,235 is: 9,984,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,178 : 4,603,235 = 4,603,235 : x
  2. Step 2: Convert to fraction form
    2,122,178/4,603,235 = 4,603,235/x
  3. Step 3: Cross multiply
    2,122,178x = 4,603,235 × 4,603,235
  4. Step 4: Simplify right side
    2,122,178x = 21,189,772,465,225
  5. Step 5: Solve for x
    x = 21,189,772,465,225/2,122,178
  6. Step 6: Final answer
    x = 9,984,917.60

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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.