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Finding the Third Proportional to 1,052,089.50 and 2,301,051

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Solution

The third proportional to 1,052,089.50 and 2,301,051 is: 5,032,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,089.50 : 2,301,051 = 2,301,051 : x
  2. Step 2: Convert to fraction form
    1,052,089.50/2,301,051 = 2,301,051/x
  3. Step 3: Cross multiply
    1,052,089.50x = 2,301,051 × 2,301,051
  4. Step 4: Simplify right side
    1,052,089.50x = 5,294,835,704,601
  5. Step 5: Solve for x
    x = 5,294,835,704,601/1,052,089.50
  6. Step 6: Final answer
    x = 5,032,685.63

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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.