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Finding the Third Proportional to 847,125 and 1,860,138

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Solution

The third proportional to 847,125 and 1,860,138 is: 4,084,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,125 : 1,860,138 = 1,860,138 : x
  2. Step 2: Convert to fraction form
    847,125/1,860,138 = 1,860,138/x
  3. Step 3: Cross multiply
    847,125x = 1,860,138 × 1,860,138
  4. Step 4: Simplify right side
    847,125x = 3,460,113,379,044
  5. Step 5: Solve for x
    x = 3,460,113,379,044/847,125
  6. Step 6: Final answer
    x = 4,084,536.97

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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.