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Finding the Third Proportional to 847,135 and 1,860,158

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Solution

The third proportional to 847,135 and 1,860,158 is: 4,084,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,135 : 1,860,158 = 1,860,158 : x
  2. Step 2: Convert to fraction form
    847,135/1,860,158 = 1,860,158/x
  3. Step 3: Cross multiply
    847,135x = 1,860,158 × 1,860,158
  4. Step 4: Simplify right side
    847,135x = 3,460,187,784,964
  5. Step 5: Solve for x
    x = 3,460,187,784,964/847,135
  6. Step 6: Final answer
    x = 4,084,576.58

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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.