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Finding the Third Proportional to 1,181,029.50 and 2,586,501

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Solution

The third proportional to 1,181,029.50 and 2,586,501 is: 5,664,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,029.50 : 2,586,501 = 2,586,501 : x
  2. Step 2: Convert to fraction form
    1,181,029.50/2,586,501 = 2,586,501/x
  3. Step 3: Cross multiply
    1,181,029.50x = 2,586,501 × 2,586,501
  4. Step 4: Simplify right side
    1,181,029.50x = 6,689,987,423,001
  5. Step 5: Solve for x
    x = 6,689,987,423,001/1,181,029.50
  6. Step 6: Final answer
    x = 5,664,538.80

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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.