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Finding the Third Proportional to 1,646,156.25 and 2,533,431.94

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Solution

The third proportional to 1,646,156.25 and 2,533,431.94 is: 3,898,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,156.25 : 2,533,431.94 = 2,533,431.94 : x
  2. Step 2: Convert to fraction form
    1,646,156.25/2,533,431.94 = 2,533,431.94/x
  3. Step 3: Cross multiply
    1,646,156.25x = 2,533,431.94 × 2,533,431.94
  4. Step 4: Simplify right side
    1,646,156.25x = 6,418,277,381,945.00
  5. Step 5: Solve for x
    x = 6,418,277,381,945.00/1,646,156.25
  6. Step 6: Final answer
    x = 3,898,947.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.