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Finding the Third Proportional to 1,533,129.50 and 2,083,022

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Solution

The third proportional to 1,533,129.50 and 2,083,022 is: 2,830,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,129.50 : 2,083,022 = 2,083,022 : x
  2. Step 2: Convert to fraction form
    1,533,129.50/2,083,022 = 2,083,022/x
  3. Step 3: Cross multiply
    1,533,129.50x = 2,083,022 × 2,083,022
  4. Step 4: Simplify right side
    1,533,129.50x = 4,338,980,652,484
  5. Step 5: Solve for x
    x = 4,338,980,652,484/1,533,129.50
  6. Step 6: Final answer
    x = 2,830,146.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.