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Finding the Third Proportional to 856,413 and 1,865,349

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Solution

The third proportional to 856,413 and 1,865,349 is: 4,062,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,413 : 1,865,349 = 1,865,349 : x
  2. Step 2: Convert to fraction form
    856,413/1,865,349 = 1,865,349/x
  3. Step 3: Cross multiply
    856,413x = 1,865,349 × 1,865,349
  4. Step 4: Simplify right side
    856,413x = 3,479,526,891,801
  5. Step 5: Solve for x
    x = 3,479,526,891,801/856,413
  6. Step 6: Final answer
    x = 4,062,907.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.