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Finding the Third Proportional to 847,140 and 1,860,168

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Solution

The third proportional to 847,140 and 1,860,168 is: 4,084,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,140 : 1,860,168 = 1,860,168 : x
  2. Step 2: Convert to fraction form
    847,140/1,860,168 = 1,860,168/x
  3. Step 3: Cross multiply
    847,140x = 1,860,168 × 1,860,168
  4. Step 4: Simplify right side
    847,140x = 3,460,224,988,224
  5. Step 5: Solve for x
    x = 3,460,224,988,224/847,140
  6. Step 6: Final answer
    x = 4,084,596.39

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