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Finding the Third Proportional to 1,051,089.50 and 2,305,651

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Solution

The third proportional to 1,051,089.50 and 2,305,651 is: 5,057,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,089.50 : 2,305,651 = 2,305,651 : x
  2. Step 2: Convert to fraction form
    1,051,089.50/2,305,651 = 2,305,651/x
  3. Step 3: Cross multiply
    1,051,089.50x = 2,305,651 × 2,305,651
  4. Step 4: Simplify right side
    1,051,089.50x = 5,316,026,533,801
  5. Step 5: Solve for x
    x = 5,316,026,533,801/1,051,089.50
  6. Step 6: Final answer
    x = 5,057,634.52

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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.