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Finding the Third Proportional to 816,556 and 1,225,650

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Solution

The third proportional to 816,556 and 1,225,650 is: 1,839,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,556 : 1,225,650 = 1,225,650 : x
  2. Step 2: Convert to fraction form
    816,556/1,225,650 = 1,225,650/x
  3. Step 3: Cross multiply
    816,556x = 1,225,650 × 1,225,650
  4. Step 4: Simplify right side
    816,556x = 1,502,217,922,500
  5. Step 5: Solve for x
    x = 1,502,217,922,500/816,556
  6. Step 6: Final answer
    x = 1,839,699.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.