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Finding the Third Proportional to 865,356 and 1,893,845

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Solution

The third proportional to 865,356 and 1,893,845 is: 4,144,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,356 : 1,893,845 = 1,893,845 : x
  2. Step 2: Convert to fraction form
    865,356/1,893,845 = 1,893,845/x
  3. Step 3: Cross multiply
    865,356x = 1,893,845 × 1,893,845
  4. Step 4: Simplify right side
    865,356x = 3,586,648,884,025
  5. Step 5: Solve for x
    x = 3,586,648,884,025/865,356
  6. Step 6: Final answer
    x = 4,144,709.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.