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Finding the Third Proportional to 2,130,704.50 and 4,577,633

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Solution

The third proportional to 2,130,704.50 and 4,577,633 is: 9,834,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,704.50 : 4,577,633 = 4,577,633 : x
  2. Step 2: Convert to fraction form
    2,130,704.50/4,577,633 = 4,577,633/x
  3. Step 3: Cross multiply
    2,130,704.50x = 4,577,633 × 4,577,633
  4. Step 4: Simplify right side
    2,130,704.50x = 20,954,723,882,689
  5. Step 5: Solve for x
    x = 20,954,723,882,689/2,130,704.50
  6. Step 6: Final answer
    x = 9,834,645.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.