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Finding the Third Proportional to 829,592 and 1,319,103

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Solution

The third proportional to 829,592 and 1,319,103 is: 2,097,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,592 : 1,319,103 = 1,319,103 : x
  2. Step 2: Convert to fraction form
    829,592/1,319,103 = 1,319,103/x
  3. Step 3: Cross multiply
    829,592x = 1,319,103 × 1,319,103
  4. Step 4: Simplify right side
    829,592x = 1,740,032,724,609
  5. Step 5: Solve for x
    x = 1,740,032,724,609/829,592
  6. Step 6: Final answer
    x = 2,097,456.01

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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.