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Finding the Third Proportional to 1,628,401.50 and 3,473,214.75

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Solution

The third proportional to 1,628,401.50 and 3,473,214.75 is: 7,408,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,401.50 : 3,473,214.75 = 3,473,214.75 : x
  2. Step 2: Convert to fraction form
    1,628,401.50/3,473,214.75 = 3,473,214.75/x
  3. Step 3: Cross multiply
    1,628,401.50x = 3,473,214.75 × 3,473,214.75
  4. Step 4: Simplify right side
    1,628,401.50x = 12,063,220,699,617.56
  5. Step 5: Solve for x
    x = 12,063,220,699,617.56/1,628,401.50
  6. Step 6: Final answer
    x = 7,408,013.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.