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Finding the Third Proportional to 847,122 and 1,860,129

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Solution

The third proportional to 847,122 and 1,860,129 is: 4,084,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,122 : 1,860,129 = 1,860,129 : x
  2. Step 2: Convert to fraction form
    847,122/1,860,129 = 1,860,129/x
  3. Step 3: Cross multiply
    847,122x = 1,860,129 × 1,860,129
  4. Step 4: Simplify right side
    847,122x = 3,460,079,896,641
  5. Step 5: Solve for x
    x = 3,460,079,896,641/847,122
  6. Step 6: Final answer
    x = 4,084,511.91

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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.