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Finding the Third Proportional to 866,306 and 1,333,289

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Solution

The third proportional to 866,306 and 1,333,289 is: 2,051,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,306 : 1,333,289 = 1,333,289 : x
  2. Step 2: Convert to fraction form
    866,306/1,333,289 = 1,333,289/x
  3. Step 3: Cross multiply
    866,306x = 1,333,289 × 1,333,289
  4. Step 4: Simplify right side
    866,306x = 1,777,659,557,521
  5. Step 5: Solve for x
    x = 1,777,659,557,521/866,306
  6. Step 6: Final answer
    x = 2,051,999.59

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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.