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Finding the Third Proportional to 829,132 and 1,243,455.50

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Solution

The third proportional to 829,132 and 1,243,455.50 is: 1,864,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,132 : 1,243,455.50 = 1,243,455.50 : x
  2. Step 2: Convert to fraction form
    829,132/1,243,455.50 = 1,243,455.50/x
  3. Step 3: Cross multiply
    829,132x = 1,243,455.50 × 1,243,455.50
  4. Step 4: Simplify right side
    829,132x = 1,546,181,580,480.25
  5. Step 5: Solve for x
    x = 1,546,181,580,480.25/829,132
  6. Step 6: Final answer
    x = 1,864,819.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.