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Finding the Third Proportional to 1,638,627.75 and 2,564,901

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Solution

The third proportional to 1,638,627.75 and 2,564,901 is: 4,014,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,627.75 : 2,564,901 = 2,564,901 : x
  2. Step 2: Convert to fraction form
    1,638,627.75/2,564,901 = 2,564,901/x
  3. Step 3: Cross multiply
    1,638,627.75x = 2,564,901 × 2,564,901
  4. Step 4: Simplify right side
    1,638,627.75x = 6,578,717,139,801
  5. Step 5: Solve for x
    x = 6,578,717,139,801/1,638,627.75
  6. Step 6: Final answer
    x = 4,014,772.20

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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.