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Finding the Third Proportional to 555,176 and 1,210,225

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Solution

The third proportional to 555,176 and 1,210,225 is: 2,638,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,176 : 1,210,225 = 1,210,225 : x
  2. Step 2: Convert to fraction form
    555,176/1,210,225 = 1,210,225/x
  3. Step 3: Cross multiply
    555,176x = 1,210,225 × 1,210,225
  4. Step 4: Simplify right side
    555,176x = 1,464,644,550,625
  5. Step 5: Solve for x
    x = 1,464,644,550,625/555,176
  6. Step 6: Final answer
    x = 2,638,162.58

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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.