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Finding the Third Proportional to 1,857,694.50 and 3,842,823.09

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Solution

The third proportional to 1,857,694.50 and 3,842,823.09 is: 7,949,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,694.50 : 3,842,823.09 = 3,842,823.09 : x
  2. Step 2: Convert to fraction form
    1,857,694.50/3,842,823.09 = 3,842,823.09/x
  3. Step 3: Cross multiply
    1,857,694.50x = 3,842,823.09 × 3,842,823.09
  4. Step 4: Simplify right side
    1,857,694.50x = 14,767,289,329,858.32
  5. Step 5: Solve for x
    x = 14,767,289,329,858.32/1,857,694.50
  6. Step 6: Final answer
    x = 7,949,256.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.