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Finding the Third Proportional to 662,175.56 and 1,429,266.38

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Solution

The third proportional to 662,175.56 and 1,429,266.38 is: 3,084,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,175.56 : 1,429,266.38 = 1,429,266.38 : x
  2. Step 2: Convert to fraction form
    662,175.56/1,429,266.38 = 1,429,266.38/x
  3. Step 3: Cross multiply
    662,175.56x = 1,429,266.38 × 1,429,266.38
  4. Step 4: Simplify right side
    662,175.56x = 2,042,802,370,705.64
  5. Step 5: Solve for x
    x = 2,042,802,370,705.64/662,175.56
  6. Step 6: Final answer
    x = 3,084,986.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.