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Finding the Third Proportional to 829,735.59 and 1,281,452.06

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Solution

The third proportional to 829,735.59 and 1,281,452.06 is: 1,979,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,735.59 : 1,281,452.06 = 1,281,452.06 : x
  2. Step 2: Convert to fraction form
    829,735.59/1,281,452.06 = 1,281,452.06/x
  3. Step 3: Cross multiply
    829,735.59x = 1,281,452.06 × 1,281,452.06
  4. Step 4: Simplify right side
    829,735.59x = 1,642,119,388,485.50
  5. Step 5: Solve for x
    x = 1,642,119,388,485.50/829,735.59
  6. Step 6: Final answer
    x = 1,979,087.56

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Why These Related Problems?

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