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Finding the Third Proportional to 1,971,846 and 4,037,148

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Solution

The third proportional to 1,971,846 and 4,037,148 is: 8,265,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,846 : 4,037,148 = 4,037,148 : x
  2. Step 2: Convert to fraction form
    1,971,846/4,037,148 = 4,037,148/x
  3. Step 3: Cross multiply
    1,971,846x = 4,037,148 × 4,037,148
  4. Step 4: Simplify right side
    1,971,846x = 16,298,563,973,904
  5. Step 5: Solve for x
    x = 16,298,563,973,904/1,971,846
  6. Step 6: Final answer
    x = 8,265,637.36

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.