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Finding the Third Proportional to 1,209,854.81 and 1,857,080.25

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Solution

The third proportional to 1,209,854.81 and 1,857,080.25 is: 2,850,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,854.81 : 1,857,080.25 = 1,857,080.25 : x
  2. Step 2: Convert to fraction form
    1,209,854.81/1,857,080.25 = 1,857,080.25/x
  3. Step 3: Cross multiply
    1,209,854.81x = 1,857,080.25 × 1,857,080.25
  4. Step 4: Simplify right side
    1,209,854.81x = 3,448,747,054,940.06
  5. Step 5: Solve for x
    x = 3,448,747,054,940.06/1,209,854.81
  6. Step 6: Final answer
    x = 2,850,546.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.