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Finding the Third Proportional to 643,586.06 and 874,062.56

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Solution

The third proportional to 643,586.06 and 874,062.56 is: 1,187,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,586.06 : 874,062.56 = 874,062.56 : x
  2. Step 2: Convert to fraction form
    643,586.06/874,062.56 = 874,062.56/x
  3. Step 3: Cross multiply
    643,586.06x = 874,062.56 × 874,062.56
  4. Step 4: Simplify right side
    643,586.06x = 763,985,363,164.07
  5. Step 5: Solve for x
    x = 763,985,363,164.07/643,586.06
  6. Step 6: Final answer
    x = 1,187,075.68

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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.