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Finding the Third Proportional to 865,358 and 1,893,848

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Solution

The third proportional to 865,358 and 1,893,848 is: 4,144,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,358 : 1,893,848 = 1,893,848 : x
  2. Step 2: Convert to fraction form
    865,358/1,893,848 = 1,893,848/x
  3. Step 3: Cross multiply
    865,358x = 1,893,848 × 1,893,848
  4. Step 4: Simplify right side
    865,358x = 3,586,660,247,104
  5. Step 5: Solve for x
    x = 3,586,660,247,104/865,358
  6. Step 6: Final answer
    x = 4,144,712.65

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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.