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Finding the Third Proportional to 857,575 and 1,864,611

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Solution

The third proportional to 857,575 and 1,864,611 is: 4,054,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,575 : 1,864,611 = 1,864,611 : x
  2. Step 2: Convert to fraction form
    857,575/1,864,611 = 1,864,611/x
  3. Step 3: Cross multiply
    857,575x = 1,864,611 × 1,864,611
  4. Step 4: Simplify right side
    857,575x = 3,476,774,181,321
  5. Step 5: Solve for x
    x = 3,476,774,181,321/857,575
  6. Step 6: Final answer
    x = 4,054,192.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.