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Finding the Third Proportional to 627,140 and 925,948

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Solution

The third proportional to 627,140 and 925,948 is: 1,367,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,140 : 925,948 = 925,948 : x
  2. Step 2: Convert to fraction form
    627,140/925,948 = 925,948/x
  3. Step 3: Cross multiply
    627,140x = 925,948 × 925,948
  4. Step 4: Simplify right side
    627,140x = 857,379,698,704
  5. Step 5: Solve for x
    x = 857,379,698,704/627,140
  6. Step 6: Final answer
    x = 1,367,126.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.