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Finding the Third Proportional to 829,296 and 1,808,658

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Solution

The third proportional to 829,296 and 1,808,658 is: 3,944,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,296 : 1,808,658 = 1,808,658 : x
  2. Step 2: Convert to fraction form
    829,296/1,808,658 = 1,808,658/x
  3. Step 3: Cross multiply
    829,296x = 1,808,658 × 1,808,658
  4. Step 4: Simplify right side
    829,296x = 3,271,243,760,964
  5. Step 5: Solve for x
    x = 3,271,243,760,964/829,296
  6. Step 6: Final answer
    x = 3,944,603.33

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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.