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Finding the Third Proportional to 864,253.50 and 1,146,843

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Solution

The third proportional to 864,253.50 and 1,146,843 is: 1,521,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,253.50 : 1,146,843 = 1,146,843 : x
  2. Step 2: Convert to fraction form
    864,253.50/1,146,843 = 1,146,843/x
  3. Step 3: Cross multiply
    864,253.50x = 1,146,843 × 1,146,843
  4. Step 4: Simplify right side
    864,253.50x = 1,315,248,866,649
  5. Step 5: Solve for x
    x = 1,315,248,866,649/864,253.50
  6. Step 6: Final answer
    x = 1,521,832.27

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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.