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Finding the Third Proportional to 493,416 and 1,025,615.50

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Solution

The third proportional to 493,416 and 1,025,615.50 is: 2,131,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,416 : 1,025,615.50 = 1,025,615.50 : x
  2. Step 2: Convert to fraction form
    493,416/1,025,615.50 = 1,025,615.50/x
  3. Step 3: Cross multiply
    493,416x = 1,025,615.50 × 1,025,615.50
  4. Step 4: Simplify right side
    493,416x = 1,051,887,153,840.25
  5. Step 5: Solve for x
    x = 1,051,887,153,840.25/493,416
  6. Step 6: Final answer
    x = 2,131,846.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.