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Finding the Third Proportional to 543,408,948 and 1,193,572,143

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Solution

The third proportional to 543,408,948 and 1,193,572,143 is: 2,621,624,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,408,948 : 1,193,572,143 = 1,193,572,143 : x
  2. Step 2: Convert to fraction form
    543,408,948/1,193,572,143 = 1,193,572,143/x
  3. Step 3: Cross multiply
    543,408,948x = 1,193,572,143 × 1,193,572,143
  4. Step 4: Simplify right side
    543,408,948x = 1,424,614,460,545,612,544
  5. Step 5: Solve for x
    x = 1,424,614,460,545,612,544/543,408,948
  6. Step 6: Final answer
    x = 2,621,624,958.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.