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Finding the Third Proportional to 829,765 and 1,281,500

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Solution

The third proportional to 829,765 and 1,281,500 is: 1,979,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,765 : 1,281,500 = 1,281,500 : x
  2. Step 2: Convert to fraction form
    829,765/1,281,500 = 1,281,500/x
  3. Step 3: Cross multiply
    829,765x = 1,281,500 × 1,281,500
  4. Step 4: Simplify right side
    829,765x = 1,642,242,250,000
  5. Step 5: Solve for x
    x = 1,642,242,250,000/829,765
  6. Step 6: Final answer
    x = 1,979,165.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.