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Finding the Third Proportional to 2,353,363.50 and 3,636,480

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Solution

The third proportional to 2,353,363.50 and 3,636,480 is: 5,619,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,363.50 : 3,636,480 = 3,636,480 : x
  2. Step 2: Convert to fraction form
    2,353,363.50/3,636,480 = 3,636,480/x
  3. Step 3: Cross multiply
    2,353,363.50x = 3,636,480 × 3,636,480
  4. Step 4: Simplify right side
    2,353,363.50x = 13,223,986,790,400
  5. Step 5: Solve for x
    x = 13,223,986,790,400/2,353,363.50
  6. Step 6: Final answer
    x = 5,619,185.81

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