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Finding the Third Proportional to 591,564 and 1,295,055

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Solution

The third proportional to 591,564 and 1,295,055 is: 2,835,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,564 : 1,295,055 = 1,295,055 : x
  2. Step 2: Convert to fraction form
    591,564/1,295,055 = 1,295,055/x
  3. Step 3: Cross multiply
    591,564x = 1,295,055 × 1,295,055
  4. Step 4: Simplify right side
    591,564x = 1,677,167,453,025
  5. Step 5: Solve for x
    x = 1,677,167,453,025/591,564
  6. Step 6: Final answer
    x = 2,835,141.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.