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Finding the Third Proportional to 973,365 and 2,096,477

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Solution

The third proportional to 973,365 and 2,096,477 is: 4,515,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,365 : 2,096,477 = 2,096,477 : x
  2. Step 2: Convert to fraction form
    973,365/2,096,477 = 2,096,477/x
  3. Step 3: Cross multiply
    973,365x = 2,096,477 × 2,096,477
  4. Step 4: Simplify right side
    973,365x = 4,395,215,811,529
  5. Step 5: Solve for x
    x = 4,395,215,811,529/973,365
  6. Step 6: Final answer
    x = 4,515,485.78

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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.