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Finding the Third Proportional to 970,682 and 1,469,603

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Solution

The third proportional to 970,682 and 1,469,603 is: 2,224,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,682 : 1,469,603 = 1,469,603 : x
  2. Step 2: Convert to fraction form
    970,682/1,469,603 = 1,469,603/x
  3. Step 3: Cross multiply
    970,682x = 1,469,603 × 1,469,603
  4. Step 4: Simplify right side
    970,682x = 2,159,732,977,609
  5. Step 5: Solve for x
    x = 2,159,732,977,609/970,682
  6. Step 6: Final answer
    x = 2,224,964.49

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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.