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Finding the Third Proportional to 2,594,502 and 5,525,784

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Solution

The third proportional to 2,594,502 and 5,525,784 is: 11,768,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,502 : 5,525,784 = 5,525,784 : x
  2. Step 2: Convert to fraction form
    2,594,502/5,525,784 = 5,525,784/x
  3. Step 3: Cross multiply
    2,594,502x = 5,525,784 × 5,525,784
  4. Step 4: Simplify right side
    2,594,502x = 30,534,288,814,656
  5. Step 5: Solve for x
    x = 30,534,288,814,656/2,594,502
  6. Step 6: Final answer
    x = 11,768,843.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.