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Finding the Third Proportional to 874,944 and 1,251,168

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Solution

The third proportional to 874,944 and 1,251,168 is: 1,789,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,944 : 1,251,168 = 1,251,168 : x
  2. Step 2: Convert to fraction form
    874,944/1,251,168 = 1,251,168/x
  3. Step 3: Cross multiply
    874,944x = 1,251,168 × 1,251,168
  4. Step 4: Simplify right side
    874,944x = 1,565,421,364,224
  5. Step 5: Solve for x
    x = 1,565,421,364,224/874,944
  6. Step 6: Final answer
    x = 1,789,167.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.