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Finding the Third Proportional to 856,343 and 1,865,249

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Solution

The third proportional to 856,343 and 1,865,249 is: 4,062,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,343 : 1,865,249 = 1,865,249 : x
  2. Step 2: Convert to fraction form
    856,343/1,865,249 = 1,865,249/x
  3. Step 3: Cross multiply
    856,343x = 1,865,249 × 1,865,249
  4. Step 4: Simplify right side
    856,343x = 3,479,153,832,001
  5. Step 5: Solve for x
    x = 3,479,153,832,001/856,343
  6. Step 6: Final answer
    x = 4,062,804.08

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Why These Related Problems?

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