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Finding the Third Proportional to 591,647.06 and 1,295,916.19

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Solution

The third proportional to 591,647.06 and 1,295,916.19 is: 2,838,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,647.06 : 1,295,916.19 = 1,295,916.19 : x
  2. Step 2: Convert to fraction form
    591,647.06/1,295,916.19 = 1,295,916.19/x
  3. Step 3: Cross multiply
    591,647.06x = 1,295,916.19 × 1,295,916.19
  4. Step 4: Simplify right side
    591,647.06x = 1,679,398,765,024.54
  5. Step 5: Solve for x
    x = 1,679,398,765,024.54/591,647.06
  6. Step 6: Final answer
    x = 2,838,514.50

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Why These Related Problems?

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