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Finding the Third Proportional to 864,264 and 1,146,846

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Solution

The third proportional to 864,264 and 1,146,846 is: 1,521,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,264 : 1,146,846 = 1,146,846 : x
  2. Step 2: Convert to fraction form
    864,264/1,146,846 = 1,146,846/x
  3. Step 3: Cross multiply
    864,264x = 1,146,846 × 1,146,846
  4. Step 4: Simplify right side
    864,264x = 1,315,255,747,716
  5. Step 5: Solve for x
    x = 1,315,255,747,716/864,264
  6. Step 6: Final answer
    x = 1,521,821.74

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.