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Finding the Third Proportional to 865,710 and 1,918,242

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Solution

The third proportional to 865,710 and 1,918,242 is: 4,250,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,710 : 1,918,242 = 1,918,242 : x
  2. Step 2: Convert to fraction form
    865,710/1,918,242 = 1,918,242/x
  3. Step 3: Cross multiply
    865,710x = 1,918,242 × 1,918,242
  4. Step 4: Simplify right side
    865,710x = 3,679,652,370,564
  5. Step 5: Solve for x
    x = 3,679,652,370,564/865,710
  6. Step 6: Final answer
    x = 4,250,444.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.