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Finding the Third Proportional to 814,847 and 1,163,545.50

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Solution

The third proportional to 814,847 and 1,163,545.50 is: 1,661,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,847 : 1,163,545.50 = 1,163,545.50 : x
  2. Step 2: Convert to fraction form
    814,847/1,163,545.50 = 1,163,545.50/x
  3. Step 3: Cross multiply
    814,847x = 1,163,545.50 × 1,163,545.50
  4. Step 4: Simplify right side
    814,847x = 1,353,838,130,570.25
  5. Step 5: Solve for x
    x = 1,353,838,130,570.25/814,847
  6. Step 6: Final answer
    x = 1,661,462.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.