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Finding the Third Proportional to 858,178 and 1,830,308

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Solution

The third proportional to 858,178 and 1,830,308 is: 3,903,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,178 : 1,830,308 = 1,830,308 : x
  2. Step 2: Convert to fraction form
    858,178/1,830,308 = 1,830,308/x
  3. Step 3: Cross multiply
    858,178x = 1,830,308 × 1,830,308
  4. Step 4: Simplify right side
    858,178x = 3,350,027,374,864
  5. Step 5: Solve for x
    x = 3,350,027,374,864/858,178
  6. Step 6: Final answer
    x = 3,903,650.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.