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Finding the Third Proportional to 423,888 and 931,436

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Solution

The third proportional to 423,888 and 931,436 is: 2,046,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,888 : 931,436 = 931,436 : x
  2. Step 2: Convert to fraction form
    423,888/931,436 = 931,436/x
  3. Step 3: Cross multiply
    423,888x = 931,436 × 931,436
  4. Step 4: Simplify right side
    423,888x = 867,573,022,096
  5. Step 5: Solve for x
    x = 867,573,022,096/423,888
  6. Step 6: Final answer
    x = 2,046,703.43

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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.