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Finding the Third Proportional to 1,038,228 and 2,301,912

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Solution

The third proportional to 1,038,228 and 2,301,912 is: 5,103,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,228 : 2,301,912 = 2,301,912 : x
  2. Step 2: Convert to fraction form
    1,038,228/2,301,912 = 2,301,912/x
  3. Step 3: Cross multiply
    1,038,228x = 2,301,912 × 2,301,912
  4. Step 4: Simplify right side
    1,038,228x = 5,298,798,855,744
  5. Step 5: Solve for x
    x = 5,298,798,855,744/1,038,228
  6. Step 6: Final answer
    x = 5,103,694.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.