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Finding the Third Proportional to 2,469,296 and 3,710,518

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Solution

The third proportional to 2,469,296 and 3,710,518 is: 5,575,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469,296 : 3,710,518 = 3,710,518 : x
  2. Step 2: Convert to fraction form
    2,469,296/3,710,518 = 3,710,518/x
  3. Step 3: Cross multiply
    2,469,296x = 3,710,518 × 3,710,518
  4. Step 4: Simplify right side
    2,469,296x = 13,767,943,828,324
  5. Step 5: Solve for x
    x = 13,767,943,828,324/2,469,296
  6. Step 6: Final answer
    x = 5,575,655.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.