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Finding the Third Proportional to 2,048,125.50 and 2,950,252.88

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Solution

The third proportional to 2,048,125.50 and 2,950,252.88 is: 4,249,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,125.50 : 2,950,252.88 = 2,950,252.88 : x
  2. Step 2: Convert to fraction form
    2,048,125.50/2,950,252.88 = 2,950,252.88/x
  3. Step 3: Cross multiply
    2,048,125.50x = 2,950,252.88 × 2,950,252.88
  4. Step 4: Simplify right side
    2,048,125.50x = 8,703,992,026,445.77
  5. Step 5: Solve for x
    x = 8,703,992,026,445.77/2,048,125.50
  6. Step 6: Final answer
    x = 4,249,735.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.