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Finding the Third Proportional to 1,926,176 and 2,986,652

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Solution

The third proportional to 1,926,176 and 2,986,652 is: 4,630,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,176 : 2,986,652 = 2,986,652 : x
  2. Step 2: Convert to fraction form
    1,926,176/2,986,652 = 2,986,652/x
  3. Step 3: Cross multiply
    1,926,176x = 2,986,652 × 2,986,652
  4. Step 4: Simplify right side
    1,926,176x = 8,920,090,169,104
  5. Step 5: Solve for x
    x = 8,920,090,169,104/1,926,176
  6. Step 6: Final answer
    x = 4,630,983.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.