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Finding the Third Proportional to 865,351 and 1,893,835

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Solution

The third proportional to 865,351 and 1,893,835 is: 4,144,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,351 : 1,893,835 = 1,893,835 : x
  2. Step 2: Convert to fraction form
    865,351/1,893,835 = 1,893,835/x
  3. Step 3: Cross multiply
    865,351x = 1,893,835 × 1,893,835
  4. Step 4: Simplify right side
    865,351x = 3,586,611,007,225
  5. Step 5: Solve for x
    x = 3,586,611,007,225/865,351
  6. Step 6: Final answer
    x = 4,144,689.27

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