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Finding the Third Proportional to 820,370 and 1,259,283

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Solution

The third proportional to 820,370 and 1,259,283 is: 1,933,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,370 : 1,259,283 = 1,259,283 : x
  2. Step 2: Convert to fraction form
    820,370/1,259,283 = 1,259,283/x
  3. Step 3: Cross multiply
    820,370x = 1,259,283 × 1,259,283
  4. Step 4: Simplify right side
    820,370x = 1,585,793,674,089
  5. Step 5: Solve for x
    x = 1,585,793,674,089/820,370
  6. Step 6: Final answer
    x = 1,933,022.51

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