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Finding the Third Proportional to 1,065,363.73 and 2,330,017.84

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Solution

The third proportional to 1,065,363.73 and 2,330,017.84 is: 5,095,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,363.73 : 2,330,017.84 = 2,330,017.84 : x
  2. Step 2: Convert to fraction form
    1,065,363.73/2,330,017.84 = 2,330,017.84/x
  3. Step 3: Cross multiply
    1,065,363.73x = 2,330,017.84 × 2,330,017.84
  4. Step 4: Simplify right side
    1,065,363.73x = 5,428,983,133,990.37
  5. Step 5: Solve for x
    x = 5,428,983,133,990.37/1,065,363.73
  6. Step 6: Final answer
    x = 5,095,896.33

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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.