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Finding the Third Proportional to 670,629.75 and 1,014,612

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Solution

The third proportional to 670,629.75 and 1,014,612 is: 1,535,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,629.75 : 1,014,612 = 1,014,612 : x
  2. Step 2: Convert to fraction form
    670,629.75/1,014,612 = 1,014,612/x
  3. Step 3: Cross multiply
    670,629.75x = 1,014,612 × 1,014,612
  4. Step 4: Simplify right side
    670,629.75x = 1,029,437,510,544
  5. Step 5: Solve for x
    x = 1,029,437,510,544/670,629.75
  6. Step 6: Final answer
    x = 1,535,031.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.