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Finding the Third Proportional to 1,480,233 and 2,214,369

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Solution

The third proportional to 1,480,233 and 2,214,369 is: 3,312,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,233 : 2,214,369 = 2,214,369 : x
  2. Step 2: Convert to fraction form
    1,480,233/2,214,369 = 2,214,369/x
  3. Step 3: Cross multiply
    1,480,233x = 2,214,369 × 2,214,369
  4. Step 4: Simplify right side
    1,480,233x = 4,903,430,068,161
  5. Step 5: Solve for x
    x = 4,903,430,068,161/1,480,233
  6. Step 6: Final answer
    x = 3,312,606.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.