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Finding the Third Proportional to 929,170 and 1,308,519

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Solution

The third proportional to 929,170 and 1,308,519 is: 1,842,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,170 : 1,308,519 = 1,308,519 : x
  2. Step 2: Convert to fraction form
    929,170/1,308,519 = 1,308,519/x
  3. Step 3: Cross multiply
    929,170x = 1,308,519 × 1,308,519
  4. Step 4: Simplify right side
    929,170x = 1,712,221,973,361
  5. Step 5: Solve for x
    x = 1,712,221,973,361/929,170
  6. Step 6: Final answer
    x = 1,842,743.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.