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Finding the Third Proportional to 1,767,403.50 and 2,720,025

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Solution

The third proportional to 1,767,403.50 and 2,720,025 is: 4,186,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,403.50 : 2,720,025 = 2,720,025 : x
  2. Step 2: Convert to fraction form
    1,767,403.50/2,720,025 = 2,720,025/x
  3. Step 3: Cross multiply
    1,767,403.50x = 2,720,025 × 2,720,025
  4. Step 4: Simplify right side
    1,767,403.50x = 7,398,536,000,625
  5. Step 5: Solve for x
    x = 7,398,536,000,625/1,767,403.50
  6. Step 6: Final answer
    x = 4,186,104.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.