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Finding the Third Proportional to 921,894.75 and 1,442,989.69

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Solution

The third proportional to 921,894.75 and 1,442,989.69 is: 2,258,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,894.75 : 1,442,989.69 = 1,442,989.69 : x
  2. Step 2: Convert to fraction form
    921,894.75/1,442,989.69 = 1,442,989.69/x
  3. Step 3: Cross multiply
    921,894.75x = 1,442,989.69 × 1,442,989.69
  4. Step 4: Simplify right side
    921,894.75x = 2,082,219,238,231.35
  5. Step 5: Solve for x
    x = 2,082,219,238,231.35/921,894.75
  6. Step 6: Final answer
    x = 2,258,630.11

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