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Finding the Third Proportional to 1,223,809 and 2,651,013

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Solution

The third proportional to 1,223,809 and 2,651,013 is: 5,742,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,809 : 2,651,013 = 2,651,013 : x
  2. Step 2: Convert to fraction form
    1,223,809/2,651,013 = 2,651,013/x
  3. Step 3: Cross multiply
    1,223,809x = 2,651,013 × 2,651,013
  4. Step 4: Simplify right side
    1,223,809x = 7,027,869,926,169
  5. Step 5: Solve for x
    x = 7,027,869,926,169/1,223,809
  6. Step 6: Final answer
    x = 5,742,619.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.