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Finding the Third Proportional to 1,737,858 and 3,784,650

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Solution

The third proportional to 1,737,858 and 3,784,650 is: 8,242,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,858 : 3,784,650 = 3,784,650 : x
  2. Step 2: Convert to fraction form
    1,737,858/3,784,650 = 3,784,650/x
  3. Step 3: Cross multiply
    1,737,858x = 3,784,650 × 3,784,650
  4. Step 4: Simplify right side
    1,737,858x = 14,323,575,622,500
  5. Step 5: Solve for x
    x = 14,323,575,622,500/1,737,858
  6. Step 6: Final answer
    x = 8,242,086.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.