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Finding the Third Proportional to 526,767 and 1,133,429

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Solution

The third proportional to 526,767 and 1,133,429 is: 2,438,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,767 : 1,133,429 = 1,133,429 : x
  2. Step 2: Convert to fraction form
    526,767/1,133,429 = 1,133,429/x
  3. Step 3: Cross multiply
    526,767x = 1,133,429 × 1,133,429
  4. Step 4: Simplify right side
    526,767x = 1,284,661,298,041
  5. Step 5: Solve for x
    x = 1,284,661,298,041/526,767
  6. Step 6: Final answer
    x = 2,438,765.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.