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Finding the Third Proportional to 1,023,916 and 2,234,168

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Solution

The third proportional to 1,023,916 and 2,234,168 is: 4,874,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,916 : 2,234,168 = 2,234,168 : x
  2. Step 2: Convert to fraction form
    1,023,916/2,234,168 = 2,234,168/x
  3. Step 3: Cross multiply
    1,023,916x = 2,234,168 × 2,234,168
  4. Step 4: Simplify right side
    1,023,916x = 4,991,506,652,224
  5. Step 5: Solve for x
    x = 4,991,506,652,224/1,023,916
  6. Step 6: Final answer
    x = 4,874,918.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.