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Finding the Third Proportional to 1,638,153 and 2,564,178.75

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Solution

The third proportional to 1,638,153 and 2,564,178.75 is: 4,013,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,153 : 2,564,178.75 = 2,564,178.75 : x
  2. Step 2: Convert to fraction form
    1,638,153/2,564,178.75 = 2,564,178.75/x
  3. Step 3: Cross multiply
    1,638,153x = 2,564,178.75 × 2,564,178.75
  4. Step 4: Simplify right side
    1,638,153x = 6,575,012,661,951.56
  5. Step 5: Solve for x
    x = 6,575,012,661,951.56/1,638,153
  6. Step 6: Final answer
    x = 4,013,674.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.