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Finding the Third Proportional to 929,128 and 1,969,901

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Solution

The third proportional to 929,128 and 1,969,901 is: 4,176,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,128 : 1,969,901 = 1,969,901 : x
  2. Step 2: Convert to fraction form
    929,128/1,969,901 = 1,969,901/x
  3. Step 3: Cross multiply
    929,128x = 1,969,901 × 1,969,901
  4. Step 4: Simplify right side
    929,128x = 3,880,509,949,801
  5. Step 5: Solve for x
    x = 3,880,509,949,801/929,128
  6. Step 6: Final answer
    x = 4,176,507.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.