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Finding the Third Proportional to 504,927.84 and 1,104,868.69

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Solution

The third proportional to 504,927.84 and 1,104,868.69 is: 2,417,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,927.84 : 1,104,868.69 = 1,104,868.69 : x
  2. Step 2: Convert to fraction form
    504,927.84/1,104,868.69 = 1,104,868.69/x
  3. Step 3: Cross multiply
    504,927.84x = 1,104,868.69 × 1,104,868.69
  4. Step 4: Simplify right side
    504,927.84x = 1,220,734,816,617.97
  5. Step 5: Solve for x
    x = 1,220,734,816,617.97/504,927.84
  6. Step 6: Final answer
    x = 2,417,642.11

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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.