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Finding the Third Proportional to 865,658 and 1,878,027.50

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Solution

The third proportional to 865,658 and 1,878,027.50 is: 4,074,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,658 : 1,878,027.50 = 1,878,027.50 : x
  2. Step 2: Convert to fraction form
    865,658/1,878,027.50 = 1,878,027.50/x
  3. Step 3: Cross multiply
    865,658x = 1,878,027.50 × 1,878,027.50
  4. Step 4: Simplify right side
    865,658x = 3,526,987,290,756.25
  5. Step 5: Solve for x
    x = 3,526,987,290,756.25/865,658
  6. Step 6: Final answer
    x = 4,074,342.63

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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.