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Finding the Third Proportional to 797,562.75 and 1,225,911.38

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Solution

The third proportional to 797,562.75 and 1,225,911.38 is: 1,884,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,562.75 : 1,225,911.38 = 1,225,911.38 : x
  2. Step 2: Convert to fraction form
    797,562.75/1,225,911.38 = 1,225,911.38/x
  3. Step 3: Cross multiply
    797,562.75x = 1,225,911.38 × 1,225,911.38
  4. Step 4: Simplify right side
    797,562.75x = 1,502,858,699,354.39
  5. Step 5: Solve for x
    x = 1,502,858,699,354.39/797,562.75
  6. Step 6: Final answer
    x = 1,884,314.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.