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Finding the Third Proportional to 646,486 and 1,023,175

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Solution

The third proportional to 646,486 and 1,023,175 is: 1,619,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,486 : 1,023,175 = 1,023,175 : x
  2. Step 2: Convert to fraction form
    646,486/1,023,175 = 1,023,175/x
  3. Step 3: Cross multiply
    646,486x = 1,023,175 × 1,023,175
  4. Step 4: Simplify right side
    646,486x = 1,046,887,080,625
  5. Step 5: Solve for x
    x = 1,046,887,080,625/646,486
  6. Step 6: Final answer
    x = 1,619,349.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.