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Finding the Third Proportional to 1,634,943 and 3,818,742

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Solution

The third proportional to 1,634,943 and 3,818,742 is: 8,919,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,943 : 3,818,742 = 3,818,742 : x
  2. Step 2: Convert to fraction form
    1,634,943/3,818,742 = 3,818,742/x
  3. Step 3: Cross multiply
    1,634,943x = 3,818,742 × 3,818,742
  4. Step 4: Simplify right side
    1,634,943x = 14,582,790,462,564
  5. Step 5: Solve for x
    x = 14,582,790,462,564/1,634,943
  6. Step 6: Final answer
    x = 8,919,448.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.