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Finding the Third Proportional to 469,512 and 915,504

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Solution

The third proportional to 469,512 and 915,504 is: 1,785,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,512 : 915,504 = 915,504 : x
  2. Step 2: Convert to fraction form
    469,512/915,504 = 915,504/x
  3. Step 3: Cross multiply
    469,512x = 915,504 × 915,504
  4. Step 4: Simplify right side
    469,512x = 838,147,574,016
  5. Step 5: Solve for x
    x = 838,147,574,016/469,512
  6. Step 6: Final answer
    x = 1,785,146.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.