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Finding the Third Proportional to 1,632,581 and 3,812,354

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Solution

The third proportional to 1,632,581 and 3,812,354 is: 8,902,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,581 : 3,812,354 = 3,812,354 : x
  2. Step 2: Convert to fraction form
    1,632,581/3,812,354 = 3,812,354/x
  3. Step 3: Cross multiply
    1,632,581x = 3,812,354 × 3,812,354
  4. Step 4: Simplify right side
    1,632,581x = 14,534,043,021,316
  5. Step 5: Solve for x
    x = 14,534,043,021,316/1,632,581
  6. Step 6: Final answer
    x = 8,902,494.28

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