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Finding the Third Proportional to 874,128 and 1,319,224

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Solution

The third proportional to 874,128 and 1,319,224 is: 1,990,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,128 : 1,319,224 = 1,319,224 : x
  2. Step 2: Convert to fraction form
    874,128/1,319,224 = 1,319,224/x
  3. Step 3: Cross multiply
    874,128x = 1,319,224 × 1,319,224
  4. Step 4: Simplify right side
    874,128x = 1,740,351,962,176
  5. Step 5: Solve for x
    x = 1,740,351,962,176/874,128
  6. Step 6: Final answer
    x = 1,990,957.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.