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Finding the Third Proportional to 509,700.09 and 1,097,506.97

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Solution

The third proportional to 509,700.09 and 1,097,506.97 is: 2,363,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,700.09 : 1,097,506.97 = 1,097,506.97 : x
  2. Step 2: Convert to fraction form
    509,700.09/1,097,506.97 = 1,097,506.97/x
  3. Step 3: Cross multiply
    509,700.09x = 1,097,506.97 × 1,097,506.97
  4. Step 4: Simplify right side
    509,700.09x = 1,204,521,546,454.81
  5. Step 5: Solve for x
    x = 1,204,521,546,454.81/509,700.09
  6. Step 6: Final answer
    x = 2,363,196.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.