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Finding the Third Proportional to 1,010,724.75 and 1,526,591.81

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Solution

The third proportional to 1,010,724.75 and 1,526,591.81 is: 2,305,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,724.75 : 1,526,591.81 = 1,526,591.81 : x
  2. Step 2: Convert to fraction form
    1,010,724.75/1,526,591.81 = 1,526,591.81/x
  3. Step 3: Cross multiply
    1,010,724.75x = 1,526,591.81 × 1,526,591.81
  4. Step 4: Simplify right side
    1,010,724.75x = 2,330,482,561,992.04
  5. Step 5: Solve for x
    x = 2,330,482,561,992.04/1,010,724.75
  6. Step 6: Final answer
    x = 2,305,753.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.