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Finding the Third Proportional to 829,753 and 1,281,483

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Solution

The third proportional to 829,753 and 1,281,483 is: 1,979,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,753 : 1,281,483 = 1,281,483 : x
  2. Step 2: Convert to fraction form
    829,753/1,281,483 = 1,281,483/x
  3. Step 3: Cross multiply
    829,753x = 1,281,483 × 1,281,483
  4. Step 4: Simplify right side
    829,753x = 1,642,198,679,289
  5. Step 5: Solve for x
    x = 1,642,198,679,289/829,753
  6. Step 6: Final answer
    x = 1,979,141.60

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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.