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Finding the Third Proportional to 866,289 and 1,333,263

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Solution

The third proportional to 866,289 and 1,333,263 is: 2,051,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,289 : 1,333,263 = 1,333,263 : x
  2. Step 2: Convert to fraction form
    866,289/1,333,263 = 1,333,263/x
  3. Step 3: Cross multiply
    866,289x = 1,333,263 × 1,333,263
  4. Step 4: Simplify right side
    866,289x = 1,777,590,227,169
  5. Step 5: Solve for x
    x = 1,777,590,227,169/866,289
  6. Step 6: Final answer
    x = 2,051,959.83

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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.