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Finding the Third Proportional to 841,179.94 and 1,824,332.63

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Solution

The third proportional to 841,179.94 and 1,824,332.63 is: 3,956,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,179.94 : 1,824,332.63 = 1,824,332.63 : x
  2. Step 2: Convert to fraction form
    841,179.94/1,824,332.63 = 1,824,332.63/x
  3. Step 3: Cross multiply
    841,179.94x = 1,824,332.63 × 1,824,332.63
  4. Step 4: Simplify right side
    841,179.94x = 3,328,189,526,639.39
  5. Step 5: Solve for x
    x = 3,328,189,526,639.39/841,179.94
  6. Step 6: Final answer
    x = 3,956,572.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.