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Finding the Third Proportional to 619,243.31 and 1,024,867.69

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Solution

The third proportional to 619,243.31 and 1,024,867.69 is: 1,696,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,243.31 : 1,024,867.69 = 1,024,867.69 : x
  2. Step 2: Convert to fraction form
    619,243.31/1,024,867.69 = 1,024,867.69/x
  3. Step 3: Cross multiply
    619,243.31x = 1,024,867.69 × 1,024,867.69
  4. Step 4: Simplify right side
    619,243.31x = 1,050,353,776,881.60
  5. Step 5: Solve for x
    x = 1,050,353,776,881.60/619,243.31
  6. Step 6: Final answer
    x = 1,696,189.13

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.