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Finding the Third Proportional to 677,189.53 and 1,410,429.38

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Solution

The third proportional to 677,189.53 and 1,410,429.38 is: 2,937,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,189.53 : 1,410,429.38 = 1,410,429.38 : x
  2. Step 2: Convert to fraction form
    677,189.53/1,410,429.38 = 1,410,429.38/x
  3. Step 3: Cross multiply
    677,189.53x = 1,410,429.38 × 1,410,429.38
  4. Step 4: Simplify right side
    677,189.53x = 1,989,311,021,862.89
  5. Step 5: Solve for x
    x = 1,989,311,021,862.89/677,189.53
  6. Step 6: Final answer
    x = 2,937,598.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.