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Finding the Third Proportional to 445,176 and 975,240

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Solution

The third proportional to 445,176 and 975,240 is: 2,136,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,176 : 975,240 = 975,240 : x
  2. Step 2: Convert to fraction form
    445,176/975,240 = 975,240/x
  3. Step 3: Cross multiply
    445,176x = 975,240 × 975,240
  4. Step 4: Simplify right side
    445,176x = 951,093,057,600
  5. Step 5: Solve for x
    x = 951,093,057,600/445,176
  6. Step 6: Final answer
    x = 2,136,442.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.