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Finding the Third Proportional to 2,037,985 and 4,395,171

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Solution

The third proportional to 2,037,985 and 4,395,171 is: 9,478,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,985 : 4,395,171 = 4,395,171 : x
  2. Step 2: Convert to fraction form
    2,037,985/4,395,171 = 4,395,171/x
  3. Step 3: Cross multiply
    2,037,985x = 4,395,171 × 4,395,171
  4. Step 4: Simplify right side
    2,037,985x = 19,317,528,119,241
  5. Step 5: Solve for x
    x = 19,317,528,119,241/2,037,985
  6. Step 6: Final answer
    x = 9,478,739.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.