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Finding the Third Proportional to 847,138 and 1,860,164

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Solution

The third proportional to 847,138 and 1,860,164 is: 4,084,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,138 : 1,860,164 = 1,860,164 : x
  2. Step 2: Convert to fraction form
    847,138/1,860,164 = 1,860,164/x
  3. Step 3: Cross multiply
    847,138x = 1,860,164 × 1,860,164
  4. Step 4: Simplify right side
    847,138x = 3,460,210,106,896
  5. Step 5: Solve for x
    x = 3,460,210,106,896/847,138
  6. Step 6: Final answer
    x = 4,084,588.47

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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.