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Finding the Third Proportional to 829,908 and 1,317,438

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Solution

The third proportional to 829,908 and 1,317,438 is: 2,091,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,908 : 1,317,438 = 1,317,438 : x
  2. Step 2: Convert to fraction form
    829,908/1,317,438 = 1,317,438/x
  3. Step 3: Cross multiply
    829,908x = 1,317,438 × 1,317,438
  4. Step 4: Simplify right side
    829,908x = 1,735,642,883,844
  5. Step 5: Solve for x
    x = 1,735,642,883,844/829,908
  6. Step 6: Final answer
    x = 2,091,367.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.