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Finding the Third Proportional to 1,604,762.50 and 3,524,405

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Solution

The third proportional to 1,604,762.50 and 3,524,405 is: 7,740,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,762.50 : 3,524,405 = 3,524,405 : x
  2. Step 2: Convert to fraction form
    1,604,762.50/3,524,405 = 3,524,405/x
  3. Step 3: Cross multiply
    1,604,762.50x = 3,524,405 × 3,524,405
  4. Step 4: Simplify right side
    1,604,762.50x = 12,421,430,604,025
  5. Step 5: Solve for x
    x = 12,421,430,604,025/1,604,762.50
  6. Step 6: Final answer
    x = 7,740,354.48

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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.