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Finding the Third Proportional to 631,072 and 954,120

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Solution

The third proportional to 631,072 and 954,120 is: 1,442,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,072 : 954,120 = 954,120 : x
  2. Step 2: Convert to fraction form
    631,072/954,120 = 954,120/x
  3. Step 3: Cross multiply
    631,072x = 954,120 × 954,120
  4. Step 4: Simplify right side
    631,072x = 910,344,974,400
  5. Step 5: Solve for x
    x = 910,344,974,400/631,072
  6. Step 6: Final answer
    x = 1,442,537.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.