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Finding the Third Proportional to 590,326 and 1,091,952.50

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Solution

The third proportional to 590,326 and 1,091,952.50 is: 2,019,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326 : 1,091,952.50 = 1,091,952.50 : x
  2. Step 2: Convert to fraction form
    590,326/1,091,952.50 = 1,091,952.50/x
  3. Step 3: Cross multiply
    590,326x = 1,091,952.50 × 1,091,952.50
  4. Step 4: Simplify right side
    590,326x = 1,192,360,262,256.25
  5. Step 5: Solve for x
    x = 1,192,360,262,256.25/590,326
  6. Step 6: Final answer
    x = 2,019,833.55

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.