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Finding the Third Proportional to 1,230,190 and 1,656,079

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Solution

The third proportional to 1,230,190 and 1,656,079 is: 2,229,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,190 : 1,656,079 = 1,656,079 : x
  2. Step 2: Convert to fraction form
    1,230,190/1,656,079 = 1,656,079/x
  3. Step 3: Cross multiply
    1,230,190x = 1,656,079 × 1,656,079
  4. Step 4: Simplify right side
    1,230,190x = 2,742,597,654,241
  5. Step 5: Solve for x
    x = 2,742,597,654,241/1,230,190
  6. Step 6: Final answer
    x = 2,229,409.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.