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Finding the Third Proportional to 803,520 and 1,243,296

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Solution

The third proportional to 803,520 and 1,243,296 is: 1,923,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,520 : 1,243,296 = 1,243,296 : x
  2. Step 2: Convert to fraction form
    803,520/1,243,296 = 1,243,296/x
  3. Step 3: Cross multiply
    803,520x = 1,243,296 × 1,243,296
  4. Step 4: Simplify right side
    803,520x = 1,545,784,943,616
  5. Step 5: Solve for x
    x = 1,545,784,943,616/803,520
  6. Step 6: Final answer
    x = 1,923,766.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.