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Finding the Third Proportional to 509,235.61 and 1,106,049.94

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Solution

The third proportional to 509,235.61 and 1,106,049.94 is: 2,402,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,235.61 : 1,106,049.94 = 1,106,049.94 : x
  2. Step 2: Convert to fraction form
    509,235.61/1,106,049.94 = 1,106,049.94/x
  3. Step 3: Cross multiply
    509,235.61x = 1,106,049.94 × 1,106,049.94
  4. Step 4: Simplify right side
    509,235.61x = 1,223,346,464,243.75
  5. Step 5: Solve for x
    x = 1,223,346,464,243.75/509,235.61
  6. Step 6: Final answer
    x = 2,402,319.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.