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Finding the Third Proportional to 595,896.75 and 1,302,437.81

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Solution

The third proportional to 595,896.75 and 1,302,437.81 is: 2,846,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,896.75 : 1,302,437.81 = 1,302,437.81 : x
  2. Step 2: Convert to fraction form
    595,896.75/1,302,437.81 = 1,302,437.81/x
  3. Step 3: Cross multiply
    595,896.75x = 1,302,437.81 × 1,302,437.81
  4. Step 4: Simplify right side
    595,896.75x = 1,696,344,255,429.79
  5. Step 5: Solve for x
    x = 1,696,344,255,429.79/595,896.75
  6. Step 6: Final answer
    x = 2,846,708.35

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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.