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Finding the Third Proportional to 1,857,696.19 and 3,842,826.05

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Solution

The third proportional to 1,857,696.19 and 3,842,826.05 is: 7,949,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,696.19 : 3,842,826.05 = 3,842,826.05 : x
  2. Step 2: Convert to fraction form
    1,857,696.19/3,842,826.05 = 3,842,826.05/x
  3. Step 3: Cross multiply
    1,857,696.19x = 3,842,826.05 × 3,842,826.05
  4. Step 4: Simplify right side
    1,857,696.19x = 14,767,312,026,540.94
  5. Step 5: Solve for x
    x = 14,767,312,026,540.94/1,857,696.19
  6. Step 6: Final answer
    x = 7,949,261.09

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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.