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Finding the Third Proportional to 1,286,264.25 and 1,763,753.06

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Solution

The third proportional to 1,286,264.25 and 1,763,753.06 is: 2,418,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,264.25 : 1,763,753.06 = 1,763,753.06 : x
  2. Step 2: Convert to fraction form
    1,286,264.25/1,763,753.06 = 1,763,753.06/x
  3. Step 3: Cross multiply
    1,286,264.25x = 1,763,753.06 × 1,763,753.06
  4. Step 4: Simplify right side
    1,286,264.25x = 3,110,824,865,478.13
  5. Step 5: Solve for x
    x = 3,110,824,865,478.13/1,286,264.25
  6. Step 6: Final answer
    x = 2,418,495.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.