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Finding the Third Proportional to 1,220,953.50 and 2,652,102

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Solution

The third proportional to 1,220,953.50 and 2,652,102 is: 5,760,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,953.50 : 2,652,102 = 2,652,102 : x
  2. Step 2: Convert to fraction form
    1,220,953.50/2,652,102 = 2,652,102/x
  3. Step 3: Cross multiply
    1,220,953.50x = 2,652,102 × 2,652,102
  4. Step 4: Simplify right side
    1,220,953.50x = 7,033,645,018,404
  5. Step 5: Solve for x
    x = 7,033,645,018,404/1,220,953.50
  6. Step 6: Final answer
    x = 5,760,780.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.