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Finding the Third Proportional to 452,124 and 661,986

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Solution

The third proportional to 452,124 and 661,986 is: 969,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,124 : 661,986 = 661,986 : x
  2. Step 2: Convert to fraction form
    452,124/661,986 = 661,986/x
  3. Step 3: Cross multiply
    452,124x = 661,986 × 661,986
  4. Step 4: Simplify right side
    452,124x = 438,225,464,196
  5. Step 5: Solve for x
    x = 438,225,464,196/452,124
  6. Step 6: Final answer
    x = 969,259.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.