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Finding the Third Proportional to 444,747 and 957,037.50

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Solution

The third proportional to 444,747 and 957,037.50 is: 2,059,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,747 : 957,037.50 = 957,037.50 : x
  2. Step 2: Convert to fraction form
    444,747/957,037.50 = 957,037.50/x
  3. Step 3: Cross multiply
    444,747x = 957,037.50 × 957,037.50
  4. Step 4: Simplify right side
    444,747x = 915,920,776,406.25
  5. Step 5: Solve for x
    x = 915,920,776,406.25/444,747
  6. Step 6: Final answer
    x = 2,059,419.80

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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.