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Finding the Third Proportional to 1,616,400 and 2,353,522.50

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Solution

The third proportional to 1,616,400 and 2,353,522.50 is: 3,426,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,400 : 2,353,522.50 = 2,353,522.50 : x
  2. Step 2: Convert to fraction form
    1,616,400/2,353,522.50 = 2,353,522.50/x
  3. Step 3: Cross multiply
    1,616,400x = 2,353,522.50 × 2,353,522.50
  4. Step 4: Simplify right side
    1,616,400x = 5,539,068,158,006.25
  5. Step 5: Solve for x
    x = 5,539,068,158,006.25/1,616,400
  6. Step 6: Final answer
    x = 3,426,792.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.