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Finding the Third Proportional to 830,004 and 1,812,936

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Solution

The third proportional to 830,004 and 1,812,936 is: 3,959,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,004 : 1,812,936 = 1,812,936 : x
  2. Step 2: Convert to fraction form
    830,004/1,812,936 = 1,812,936/x
  3. Step 3: Cross multiply
    830,004x = 1,812,936 × 1,812,936
  4. Step 4: Simplify right side
    830,004x = 3,286,736,940,096
  5. Step 5: Solve for x
    x = 3,286,736,940,096/830,004
  6. Step 6: Final answer
    x = 3,959,904.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.