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Finding the Third Proportional to 2,197,209.94 and 4,813,338.94

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Solution

The third proportional to 2,197,209.94 and 4,813,338.94 is: 10,544,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,209.94 : 4,813,338.94 = 4,813,338.94 : x
  2. Step 2: Convert to fraction form
    2,197,209.94/4,813,338.94 = 4,813,338.94/x
  3. Step 3: Cross multiply
    2,197,209.94x = 4,813,338.94 × 4,813,338.94
  4. Step 4: Simplify right side
    2,197,209.94x = 23,168,231,727,253.63
  5. Step 5: Solve for x
    x = 23,168,231,727,253.63/2,197,209.94
  6. Step 6: Final answer
    x = 10,544,386.92

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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.