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Finding the Third Proportional to 694,807.88 and 1,464,328.13

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Solution

The third proportional to 694,807.88 and 1,464,328.13 is: 3,086,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,807.88 : 1,464,328.13 = 1,464,328.13 : x
  2. Step 2: Convert to fraction form
    694,807.88/1,464,328.13 = 1,464,328.13/x
  3. Step 3: Cross multiply
    694,807.88x = 1,464,328.13 × 1,464,328.13
  4. Step 4: Simplify right side
    694,807.88x = 2,144,256,857,666.02
  5. Step 5: Solve for x
    x = 2,144,256,857,666.02/694,807.88
  6. Step 6: Final answer
    x = 3,086,114.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.