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Finding the Third Proportional to 1,183,560.75 and 2,588,599.13

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Solution

The third proportional to 1,183,560.75 and 2,588,599.13 is: 5,661,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,560.75 : 2,588,599.13 = 2,588,599.13 : x
  2. Step 2: Convert to fraction form
    1,183,560.75/2,588,599.13 = 2,588,599.13/x
  3. Step 3: Cross multiply
    1,183,560.75x = 2,588,599.13 × 2,588,599.13
  4. Step 4: Simplify right side
    1,183,560.75x = 6,700,845,429,950.77
  5. Step 5: Solve for x
    x = 6,700,845,429,950.77/1,183,560.75
  6. Step 6: Final answer
    x = 5,661,598.22

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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.