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Finding the Third Proportional to 523,671.75 and 1,223,799.75

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Solution

The third proportional to 523,671.75 and 1,223,799.75 is: 2,859,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,671.75 : 1,223,799.75 = 1,223,799.75 : x
  2. Step 2: Convert to fraction form
    523,671.75/1,223,799.75 = 1,223,799.75/x
  3. Step 3: Cross multiply
    523,671.75x = 1,223,799.75 × 1,223,799.75
  4. Step 4: Simplify right side
    523,671.75x = 1,497,685,828,100.06
  5. Step 5: Solve for x
    x = 1,497,685,828,100.06/523,671.75
  6. Step 6: Final answer
    x = 2,859,970.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.