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Finding the Third Proportional to 688,280.63 and 1,476,174.38

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Solution

The third proportional to 688,280.63 and 1,476,174.38 is: 3,165,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,280.63 : 1,476,174.38 = 1,476,174.38 : x
  2. Step 2: Convert to fraction form
    688,280.63/1,476,174.38 = 1,476,174.38/x
  3. Step 3: Cross multiply
    688,280.63x = 1,476,174.38 × 1,476,174.38
  4. Step 4: Simplify right side
    688,280.63x = 2,179,090,785,406.64
  5. Step 5: Solve for x
    x = 2,179,090,785,406.64/688,280.63
  6. Step 6: Final answer
    x = 3,165,991.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.