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Finding the Third Proportional to 923,169 and 1,919,724

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Solution

The third proportional to 923,169 and 1,919,724 is: 3,992,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,169 : 1,919,724 = 1,919,724 : x
  2. Step 2: Convert to fraction form
    923,169/1,919,724 = 1,919,724/x
  3. Step 3: Cross multiply
    923,169x = 1,919,724 × 1,919,724
  4. Step 4: Simplify right side
    923,169x = 3,685,340,236,176
  5. Step 5: Solve for x
    x = 3,685,340,236,176/923,169
  6. Step 6: Final answer
    x = 3,992,053.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.