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Finding the Third Proportional to 645,103.50 and 1,024,860

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Solution

The third proportional to 645,103.50 and 1,024,860 is: 1,628,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,103.50 : 1,024,860 = 1,024,860 : x
  2. Step 2: Convert to fraction form
    645,103.50/1,024,860 = 1,024,860/x
  3. Step 3: Cross multiply
    645,103.50x = 1,024,860 × 1,024,860
  4. Step 4: Simplify right side
    645,103.50x = 1,050,338,019,600
  5. Step 5: Solve for x
    x = 1,050,338,019,600/645,103.50
  6. Step 6: Final answer
    x = 1,628,169.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.