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Finding the Third Proportional to 1,183,545 and 2,588,513.63

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Solution

The third proportional to 1,183,545 and 2,588,513.63 is: 5,661,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,545 : 2,588,513.63 = 2,588,513.63 : x
  2. Step 2: Convert to fraction form
    1,183,545/2,588,513.63 = 2,588,513.63/x
  3. Step 3: Cross multiply
    1,183,545x = 2,588,513.63 × 2,588,513.63
  4. Step 4: Simplify right side
    1,183,545x = 6,700,402,786,810.64
  5. Step 5: Solve for x
    x = 6,700,402,786,810.64/1,183,545
  6. Step 6: Final answer
    x = 5,661,299.56

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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.