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Finding the Third Proportional to 847,143 and 1,860,174

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Solution

The third proportional to 847,143 and 1,860,174 is: 4,084,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,143 : 1,860,174 = 1,860,174 : x
  2. Step 2: Convert to fraction form
    847,143/1,860,174 = 1,860,174/x
  3. Step 3: Cross multiply
    847,143x = 1,860,174 × 1,860,174
  4. Step 4: Simplify right side
    847,143x = 3,460,247,310,276
  5. Step 5: Solve for x
    x = 3,460,247,310,276/847,143
  6. Step 6: Final answer
    x = 4,084,608.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.