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Finding the Third Proportional to 922,088.25 and 1,424,028.38

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Solution

The third proportional to 922,088.25 and 1,424,028.38 is: 2,199,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,088.25 : 1,424,028.38 = 1,424,028.38 : x
  2. Step 2: Convert to fraction form
    922,088.25/1,424,028.38 = 1,424,028.38/x
  3. Step 3: Cross multiply
    922,088.25x = 1,424,028.38 × 1,424,028.38
  4. Step 4: Simplify right side
    922,088.25x = 2,027,856,812,805.14
  5. Step 5: Solve for x
    x = 2,027,856,812,805.14/922,088.25
  6. Step 6: Final answer
    x = 2,199,200.36

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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.