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Finding the Third Proportional to 1,831,491 and 3,714,741

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Solution

The third proportional to 1,831,491 and 3,714,741 is: 7,534,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,491 : 3,714,741 = 3,714,741 : x
  2. Step 2: Convert to fraction form
    1,831,491/3,714,741 = 3,714,741/x
  3. Step 3: Cross multiply
    1,831,491x = 3,714,741 × 3,714,741
  4. Step 4: Simplify right side
    1,831,491x = 13,799,300,697,081
  5. Step 5: Solve for x
    x = 13,799,300,697,081/1,831,491
  6. Step 6: Final answer
    x = 7,534,462.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.