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Finding the Third Proportional to 613,429 and 931,179

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Solution

The third proportional to 613,429 and 931,179 is: 1,413,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,429 : 931,179 = 931,179 : x
  2. Step 2: Convert to fraction form
    613,429/931,179 = 931,179/x
  3. Step 3: Cross multiply
    613,429x = 931,179 × 931,179
  4. Step 4: Simplify right side
    613,429x = 867,094,330,041
  5. Step 5: Solve for x
    x = 867,094,330,041/613,429
  6. Step 6: Final answer
    x = 1,413,520.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.