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Finding the Third Proportional to 829,591 and 1,319,101.50

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Solution

The third proportional to 829,591 and 1,319,101.50 is: 2,097,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,591 : 1,319,101.50 = 1,319,101.50 : x
  2. Step 2: Convert to fraction form
    829,591/1,319,101.50 = 1,319,101.50/x
  3. Step 3: Cross multiply
    829,591x = 1,319,101.50 × 1,319,101.50
  4. Step 4: Simplify right side
    829,591x = 1,740,028,767,302.25
  5. Step 5: Solve for x
    x = 1,740,028,767,302.25/829,591
  6. Step 6: Final answer
    x = 2,097,453.77

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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.