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Finding the Third Proportional to 723,224 and 1,575,025

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Solution

The third proportional to 723,224 and 1,575,025 is: 3,430,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,224 : 1,575,025 = 1,575,025 : x
  2. Step 2: Convert to fraction form
    723,224/1,575,025 = 1,575,025/x
  3. Step 3: Cross multiply
    723,224x = 1,575,025 × 1,575,025
  4. Step 4: Simplify right side
    723,224x = 2,480,703,750,625
  5. Step 5: Solve for x
    x = 2,480,703,750,625/723,224
  6. Step 6: Final answer
    x = 3,430,062.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.