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Finding the Third Proportional to 2,525,257.50 and 3,790,802.25

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Solution

The third proportional to 2,525,257.50 and 3,790,802.25 is: 5,690,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525,257.50 : 3,790,802.25 = 3,790,802.25 : x
  2. Step 2: Convert to fraction form
    2,525,257.50/3,790,802.25 = 3,790,802.25/x
  3. Step 3: Cross multiply
    2,525,257.50x = 3,790,802.25 × 3,790,802.25
  4. Step 4: Simplify right side
    2,525,257.50x = 14,370,181,698,605.06
  5. Step 5: Solve for x
    x = 14,370,181,698,605.06/2,525,257.50
  6. Step 6: Final answer
    x = 5,690,580.74

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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.