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Finding the Third Proportional to 1,953,164.50 and 4,284,513

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Solution

The third proportional to 1,953,164.50 and 4,284,513 is: 9,398,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,164.50 : 4,284,513 = 4,284,513 : x
  2. Step 2: Convert to fraction form
    1,953,164.50/4,284,513 = 4,284,513/x
  3. Step 3: Cross multiply
    1,953,164.50x = 4,284,513 × 4,284,513
  4. Step 4: Simplify right side
    1,953,164.50x = 18,357,051,647,169
  5. Step 5: Solve for x
    x = 18,357,051,647,169/1,953,164.50
  6. Step 6: Final answer
    x = 9,398,620.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.