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Finding the Third Proportional to 436,709.81 and 954,384.19

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Solution

The third proportional to 436,709.81 and 954,384.19 is: 2,085,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,709.81 : 954,384.19 = 954,384.19 : x
  2. Step 2: Convert to fraction form
    436,709.81/954,384.19 = 954,384.19/x
  3. Step 3: Cross multiply
    436,709.81x = 954,384.19 × 954,384.19
  4. Step 4: Simplify right side
    436,709.81x = 910,849,177,350.04
  5. Step 5: Solve for x
    x = 910,849,177,350.04/436,709.81
  6. Step 6: Final answer
    x = 2,085,708.06

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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.