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Finding the Third Proportional to 412,130 and 903,964

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Solution

The third proportional to 412,130 and 903,964 is: 1,982,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,130 : 903,964 = 903,964 : x
  2. Step 2: Convert to fraction form
    412,130/903,964 = 903,964/x
  3. Step 3: Cross multiply
    412,130x = 903,964 × 903,964
  4. Step 4: Simplify right side
    412,130x = 817,150,913,296
  5. Step 5: Solve for x
    x = 817,150,913,296/412,130
  6. Step 6: Final answer
    x = 1,982,750.38

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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.