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Finding the Third Proportional to 642,954 and 970,260

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Solution

The third proportional to 642,954 and 970,260 is: 1,464,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,954 : 970,260 = 970,260 : x
  2. Step 2: Convert to fraction form
    642,954/970,260 = 970,260/x
  3. Step 3: Cross multiply
    642,954x = 970,260 × 970,260
  4. Step 4: Simplify right side
    642,954x = 941,404,467,600
  5. Step 5: Solve for x
    x = 941,404,467,600/642,954
  6. Step 6: Final answer
    x = 1,464,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.