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Finding the Third Proportional to 1,002,603.94 and 2,087,827.31

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Solution

The third proportional to 1,002,603.94 and 2,087,827.31 is: 4,347,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,603.94 : 2,087,827.31 = 2,087,827.31 : x
  2. Step 2: Convert to fraction form
    1,002,603.94/2,087,827.31 = 2,087,827.31/x
  3. Step 3: Cross multiply
    1,002,603.94x = 2,087,827.31 × 2,087,827.31
  4. Step 4: Simplify right side
    1,002,603.94x = 4,359,022,886,820.97
  5. Step 5: Solve for x
    x = 4,359,022,886,820.97/1,002,603.94
  6. Step 6: Final answer
    x = 4,347,701.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.