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Finding the Third Proportional to 829,596 and 1,319,108

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Solution

The third proportional to 829,596 and 1,319,108 is: 2,097,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,596 : 1,319,108 = 1,319,108 : x
  2. Step 2: Convert to fraction form
    829,596/1,319,108 = 1,319,108/x
  3. Step 3: Cross multiply
    829,596x = 1,319,108 × 1,319,108
  4. Step 4: Simplify right side
    829,596x = 1,740,045,915,664
  5. Step 5: Solve for x
    x = 1,740,045,915,664/829,596
  6. Step 6: Final answer
    x = 2,097,461.80

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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.