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Finding the Third Proportional to 2,130,024 and 3,217,212

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Solution

The third proportional to 2,130,024 and 3,217,212 is: 4,859,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,024 : 3,217,212 = 3,217,212 : x
  2. Step 2: Convert to fraction form
    2,130,024/3,217,212 = 3,217,212/x
  3. Step 3: Cross multiply
    2,130,024x = 3,217,212 × 3,217,212
  4. Step 4: Simplify right side
    2,130,024x = 10,350,453,052,944
  5. Step 5: Solve for x
    x = 10,350,453,052,944/2,130,024
  6. Step 6: Final answer
    x = 4,859,312.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.