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Finding the Third Proportional to 423,454 and 929,852

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Solution

The third proportional to 423,454 and 929,852 is: 2,041,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,454 : 929,852 = 929,852 : x
  2. Step 2: Convert to fraction form
    423,454/929,852 = 929,852/x
  3. Step 3: Cross multiply
    423,454x = 929,852 × 929,852
  4. Step 4: Simplify right side
    423,454x = 864,624,741,904
  5. Step 5: Solve for x
    x = 864,624,741,904/423,454
  6. Step 6: Final answer
    x = 2,041,838.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.