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Finding the Third Proportional to 1,141,148 and 2,444,224

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Solution

The third proportional to 1,141,148 and 2,444,224 is: 5,235,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,148 : 2,444,224 = 2,444,224 : x
  2. Step 2: Convert to fraction form
    1,141,148/2,444,224 = 2,444,224/x
  3. Step 3: Cross multiply
    1,141,148x = 2,444,224 × 2,444,224
  4. Step 4: Simplify right side
    1,141,148x = 5,974,230,962,176
  5. Step 5: Solve for x
    x = 5,974,230,962,176/1,141,148
  6. Step 6: Final answer
    x = 5,235,281.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.