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Finding the Third Proportional to 1,632,595.50 and 3,812,385.23

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Solution

The third proportional to 1,632,595.50 and 3,812,385.23 is: 8,902,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,595.50 : 3,812,385.23 = 3,812,385.23 : x
  2. Step 2: Convert to fraction form
    1,632,595.50/3,812,385.23 = 3,812,385.23/x
  3. Step 3: Cross multiply
    1,632,595.50x = 3,812,385.23 × 3,812,385.23
  4. Step 4: Simplify right side
    1,632,595.50x = 14,534,281,175,280.52
  5. Step 5: Solve for x
    x = 14,534,281,175,280.52/1,632,595.50
  6. Step 6: Final answer
    x = 8,902,561.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.