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Finding the Third Proportional to 756,671.63 and 1,105,908.19

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Solution

The third proportional to 756,671.63 and 1,105,908.19 is: 1,616,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,671.63 : 1,105,908.19 = 1,105,908.19 : x
  2. Step 2: Convert to fraction form
    756,671.63/1,105,908.19 = 1,105,908.19/x
  3. Step 3: Cross multiply
    756,671.63x = 1,105,908.19 × 1,105,908.19
  4. Step 4: Simplify right side
    756,671.63x = 1,223,032,919,179.54
  5. Step 5: Solve for x
    x = 1,223,032,919,179.54/756,671.63
  6. Step 6: Final answer
    x = 1,616,332.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.