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Finding the Third Proportional to 797,898.75 and 1,226,373

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Solution

The third proportional to 797,898.75 and 1,226,373 is: 1,884,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,898.75 : 1,226,373 = 1,226,373 : x
  2. Step 2: Convert to fraction form
    797,898.75/1,226,373 = 1,226,373/x
  3. Step 3: Cross multiply
    797,898.75x = 1,226,373 × 1,226,373
  4. Step 4: Simplify right side
    797,898.75x = 1,503,990,735,129
  5. Step 5: Solve for x
    x = 1,503,990,735,129/797,898.75
  6. Step 6: Final answer
    x = 1,884,939.33

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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.