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Finding the Third Proportional to 614,716 and 949,338

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Solution

The third proportional to 614,716 and 949,338 is: 1,466,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,716 : 949,338 = 949,338 : x
  2. Step 2: Convert to fraction form
    614,716/949,338 = 949,338/x
  3. Step 3: Cross multiply
    614,716x = 949,338 × 949,338
  4. Step 4: Simplify right side
    614,716x = 901,242,638,244
  5. Step 5: Solve for x
    x = 901,242,638,244/614,716
  6. Step 6: Final answer
    x = 1,466,112.22

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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.