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Finding the Third Proportional to 1,742,446 and 3,751,881

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Solution

The third proportional to 1,742,446 and 3,751,881 is: 8,078,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,446 : 3,751,881 = 3,751,881 : x
  2. Step 2: Convert to fraction form
    1,742,446/3,751,881 = 3,751,881/x
  3. Step 3: Cross multiply
    1,742,446x = 3,751,881 × 3,751,881
  4. Step 4: Simplify right side
    1,742,446x = 14,076,611,038,161
  5. Step 5: Solve for x
    x = 14,076,611,038,161/1,742,446
  6. Step 6: Final answer
    x = 8,078,649.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.