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Finding the Third Proportional to 754,164 and 1,054,928.25

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Solution

The third proportional to 754,164 and 1,054,928.25 is: 1,475,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,164 : 1,054,928.25 = 1,054,928.25 : x
  2. Step 2: Convert to fraction form
    754,164/1,054,928.25 = 1,054,928.25/x
  3. Step 3: Cross multiply
    754,164x = 1,054,928.25 × 1,054,928.25
  4. Step 4: Simplify right side
    754,164x = 1,112,873,612,648.06
  5. Step 5: Solve for x
    x = 1,112,873,612,648.06/754,164
  6. Step 6: Final answer
    x = 1,475,638.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.