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Finding the Third Proportional to 2,143,705.50 and 4,463,829

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Solution

The third proportional to 2,143,705.50 and 4,463,829 is: 9,295,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,705.50 : 4,463,829 = 4,463,829 : x
  2. Step 2: Convert to fraction form
    2,143,705.50/4,463,829 = 4,463,829/x
  3. Step 3: Cross multiply
    2,143,705.50x = 4,463,829 × 4,463,829
  4. Step 4: Simplify right side
    2,143,705.50x = 19,925,769,341,241
  5. Step 5: Solve for x
    x = 19,925,769,341,241/2,143,705.50
  6. Step 6: Final answer
    x = 9,295,012.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.