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Finding the Third Proportional to 829,750.75 and 1,281,479.88

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Solution

The third proportional to 829,750.75 and 1,281,479.88 is: 1,979,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,750.75 : 1,281,479.88 = 1,281,479.88 : x
  2. Step 2: Convert to fraction form
    829,750.75/1,281,479.88 = 1,281,479.88/x
  3. Step 3: Cross multiply
    829,750.75x = 1,281,479.88 × 1,281,479.88
  4. Step 4: Simplify right side
    829,750.75x = 1,642,190,670,030.02
  5. Step 5: Solve for x
    x = 1,642,190,670,030.02/829,750.75
  6. Step 6: Final answer
    x = 1,979,137.31

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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.