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Finding the Third Proportional to 1,408,709.81 and 2,232,440.44

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Solution

The third proportional to 1,408,709.81 and 2,232,440.44 is: 3,537,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,709.81 : 2,232,440.44 = 2,232,440.44 : x
  2. Step 2: Convert to fraction form
    1,408,709.81/2,232,440.44 = 2,232,440.44/x
  3. Step 3: Cross multiply
    1,408,709.81x = 2,232,440.44 × 2,232,440.44
  4. Step 4: Simplify right side
    1,408,709.81x = 4,983,790,306,985.19
  5. Step 5: Solve for x
    x = 4,983,790,306,985.19/1,408,709.81
  6. Step 6: Final answer
    x = 3,537,840.27

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.