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Finding the Third Proportional to 440,174.63 and 964,731

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Solution

The third proportional to 440,174.63 and 964,731 is: 2,114,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,174.63 : 964,731 = 964,731 : x
  2. Step 2: Convert to fraction form
    440,174.63/964,731 = 964,731/x
  3. Step 3: Cross multiply
    440,174.63x = 964,731 × 964,731
  4. Step 4: Simplify right side
    440,174.63x = 930,705,902,361
  5. Step 5: Solve for x
    x = 930,705,902,361/440,174.63
  6. Step 6: Final answer
    x = 2,114,401.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.