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Finding the Third Proportional to 829,569 and 1,319,073

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Solution

The third proportional to 829,569 and 1,319,073 is: 2,097,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,569 : 1,319,073 = 1,319,073 : x
  2. Step 2: Convert to fraction form
    829,569/1,319,073 = 1,319,073/x
  3. Step 3: Cross multiply
    829,569x = 1,319,073 × 1,319,073
  4. Step 4: Simplify right side
    829,569x = 1,739,953,579,329
  5. Step 5: Solve for x
    x = 1,739,953,579,329/829,569
  6. Step 6: Final answer
    x = 2,097,418.76

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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.