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Finding the Third Proportional to 929,203.50 and 1,420,464

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Solution

The third proportional to 929,203.50 and 1,420,464 is: 2,171,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,203.50 : 1,420,464 = 1,420,464 : x
  2. Step 2: Convert to fraction form
    929,203.50/1,420,464 = 1,420,464/x
  3. Step 3: Cross multiply
    929,203.50x = 1,420,464 × 1,420,464
  4. Step 4: Simplify right side
    929,203.50x = 2,017,717,975,296
  5. Step 5: Solve for x
    x = 2,017,717,975,296/929,203.50
  6. Step 6: Final answer
    x = 2,171,448.96

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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.