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Finding the Third Proportional to 2,043,546.47 and 4,817,209.22

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Solution

The third proportional to 2,043,546.47 and 4,817,209.22 is: 11,355,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043,546.47 : 4,817,209.22 = 4,817,209.22 : x
  2. Step 2: Convert to fraction form
    2,043,546.47/4,817,209.22 = 4,817,209.22/x
  3. Step 3: Cross multiply
    2,043,546.47x = 4,817,209.22 × 4,817,209.22
  4. Step 4: Simplify right side
    2,043,546.47x = 23,205,504,657,209.98
  5. Step 5: Solve for x
    x = 23,205,504,657,209.98/2,043,546.47
  6. Step 6: Final answer
    x = 11,355,506.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.