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Finding the Third Proportional to 620,580 and 948,918

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Solution

The third proportional to 620,580 and 948,918 is: 1,450,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,580 : 948,918 = 948,918 : x
  2. Step 2: Convert to fraction form
    620,580/948,918 = 948,918/x
  3. Step 3: Cross multiply
    620,580x = 948,918 × 948,918
  4. Step 4: Simplify right side
    620,580x = 900,445,370,724
  5. Step 5: Solve for x
    x = 900,445,370,724/620,580
  6. Step 6: Final answer
    x = 1,450,973.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.