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Finding the Third Proportional to 1,065,633.50 and 2,282,887

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Solution

The third proportional to 1,065,633.50 and 2,282,887 is: 4,890,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,633.50 : 2,282,887 = 2,282,887 : x
  2. Step 2: Convert to fraction form
    1,065,633.50/2,282,887 = 2,282,887/x
  3. Step 3: Cross multiply
    1,065,633.50x = 2,282,887 × 2,282,887
  4. Step 4: Simplify right side
    1,065,633.50x = 5,211,573,054,769
  5. Step 5: Solve for x
    x = 5,211,573,054,769/1,065,633.50
  6. Step 6: Final answer
    x = 4,890,586.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.