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Finding the Third Proportional to 1,032,224 and 2,137,029

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Solution

The third proportional to 1,032,224 and 2,137,029 is: 4,424,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,224 : 2,137,029 = 2,137,029 : x
  2. Step 2: Convert to fraction form
    1,032,224/2,137,029 = 2,137,029/x
  3. Step 3: Cross multiply
    1,032,224x = 2,137,029 × 2,137,029
  4. Step 4: Simplify right side
    1,032,224x = 4,566,892,946,841
  5. Step 5: Solve for x
    x = 4,566,892,946,841/1,032,224
  6. Step 6: Final answer
    x = 4,424,323.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.