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Finding the Third Proportional to 1,164,674 and 1,747,011

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Solution

The third proportional to 1,164,674 and 1,747,011 is: 2,620,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,674 : 1,747,011 = 1,747,011 : x
  2. Step 2: Convert to fraction form
    1,164,674/1,747,011 = 1,747,011/x
  3. Step 3: Cross multiply
    1,164,674x = 1,747,011 × 1,747,011
  4. Step 4: Simplify right side
    1,164,674x = 3,052,047,434,121
  5. Step 5: Solve for x
    x = 3,052,047,434,121/1,164,674
  6. Step 6: Final answer
    x = 2,620,516.50

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Why These Related Problems?

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