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Finding the Third Proportional to 1,092,775.50 and 1,627,953.75

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Solution

The third proportional to 1,092,775.50 and 1,627,953.75 is: 2,425,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,775.50 : 1,627,953.75 = 1,627,953.75 : x
  2. Step 2: Convert to fraction form
    1,092,775.50/1,627,953.75 = 1,627,953.75/x
  3. Step 3: Cross multiply
    1,092,775.50x = 1,627,953.75 × 1,627,953.75
  4. Step 4: Simplify right side
    1,092,775.50x = 2,650,233,412,139.06
  5. Step 5: Solve for x
    x = 2,650,233,412,139.06/1,092,775.50
  6. Step 6: Final answer
    x = 2,425,231.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.