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Finding the Third Proportional to 1,429,722.75 and 2,228,987.25

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Solution

The third proportional to 1,429,722.75 and 2,228,987.25 is: 3,475,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,722.75 : 2,228,987.25 = 2,228,987.25 : x
  2. Step 2: Convert to fraction form
    1,429,722.75/2,228,987.25 = 2,228,987.25/x
  3. Step 3: Cross multiply
    1,429,722.75x = 2,228,987.25 × 2,228,987.25
  4. Step 4: Simplify right side
    1,429,722.75x = 4,968,384,160,662.56
  5. Step 5: Solve for x
    x = 4,968,384,160,662.56/1,429,722.75
  6. Step 6: Final answer
    x = 3,475,068.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.