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Finding the Third Proportional to 1,364,893.03 and 1,966,147.17

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Solution

The third proportional to 1,364,893.03 and 1,966,147.17 is: 2,832,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,893.03 : 1,966,147.17 = 1,966,147.17 : x
  2. Step 2: Convert to fraction form
    1,364,893.03/1,966,147.17 = 1,966,147.17/x
  3. Step 3: Cross multiply
    1,364,893.03x = 1,966,147.17 × 1,966,147.17
  4. Step 4: Simplify right side
    1,364,893.03x = 3,865,734,701,472.06
  5. Step 5: Solve for x
    x = 3,865,734,701,472.06/1,364,893.03
  6. Step 6: Final answer
    x = 2,832,262.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.