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Finding the Third Proportional to 482,148 and 1,050,014

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Solution

The third proportional to 482,148 and 1,050,014 is: 2,286,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,148 : 1,050,014 = 1,050,014 : x
  2. Step 2: Convert to fraction form
    482,148/1,050,014 = 1,050,014/x
  3. Step 3: Cross multiply
    482,148x = 1,050,014 × 1,050,014
  4. Step 4: Simplify right side
    482,148x = 1,102,529,400,196
  5. Step 5: Solve for x
    x = 1,102,529,400,196/482,148
  6. Step 6: Final answer
    x = 2,286,703.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.