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Finding the Third Proportional to 616,810 and 949,286

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Solution

The third proportional to 616,810 and 949,286 is: 1,460,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,810 : 949,286 = 949,286 : x
  2. Step 2: Convert to fraction form
    616,810/949,286 = 949,286/x
  3. Step 3: Cross multiply
    616,810x = 949,286 × 949,286
  4. Step 4: Simplify right side
    616,810x = 901,143,909,796
  5. Step 5: Solve for x
    x = 901,143,909,796/616,810
  6. Step 6: Final answer
    x = 1,460,974.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.