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Finding the Third Proportional to 584,148 and 1,261,713.75

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Solution

The third proportional to 584,148 and 1,261,713.75 is: 2,725,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,148 : 1,261,713.75 = 1,261,713.75 : x
  2. Step 2: Convert to fraction form
    584,148/1,261,713.75 = 1,261,713.75/x
  3. Step 3: Cross multiply
    584,148x = 1,261,713.75 × 1,261,713.75
  4. Step 4: Simplify right side
    584,148x = 1,591,921,586,939.06
  5. Step 5: Solve for x
    x = 1,591,921,586,939.06/584,148
  6. Step 6: Final answer
    x = 2,725,202.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.