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Finding the Third Proportional to 473,912 and 1,043,888

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Solution

The third proportional to 473,912 and 1,043,888 is: 2,299,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,912 : 1,043,888 = 1,043,888 : x
  2. Step 2: Convert to fraction form
    473,912/1,043,888 = 1,043,888/x
  3. Step 3: Cross multiply
    473,912x = 1,043,888 × 1,043,888
  4. Step 4: Simplify right side
    473,912x = 1,089,702,156,544
  5. Step 5: Solve for x
    x = 1,089,702,156,544/473,912
  6. Step 6: Final answer
    x = 2,299,376.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.