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Finding the Third Proportional to 1,412,110 and 2,155,114

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Solution

The third proportional to 1,412,110 and 2,155,114 is: 3,289,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,110 : 2,155,114 = 2,155,114 : x
  2. Step 2: Convert to fraction form
    1,412,110/2,155,114 = 2,155,114/x
  3. Step 3: Cross multiply
    1,412,110x = 2,155,114 × 2,155,114
  4. Step 4: Simplify right side
    1,412,110x = 4,644,516,352,996
  5. Step 5: Solve for x
    x = 4,644,516,352,996/1,412,110
  6. Step 6: Final answer
    x = 3,289,061.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.