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Finding the Third Proportional to 829,693.13 and 1,252,125.84

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Solution

The third proportional to 829,693.13 and 1,252,125.84 is: 1,889,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,693.13 : 1,252,125.84 = 1,252,125.84 : x
  2. Step 2: Convert to fraction form
    829,693.13/1,252,125.84 = 1,252,125.84/x
  3. Step 3: Cross multiply
    829,693.13x = 1,252,125.84 × 1,252,125.84
  4. Step 4: Simplify right side
    829,693.13x = 1,567,819,128,586.65
  5. Step 5: Solve for x
    x = 1,567,819,128,586.65/829,693.13
  6. Step 6: Final answer
    x = 1,889,637.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.