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Finding the Third Proportional to 865,179 and 1,863,475

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Solution

The third proportional to 865,179 and 1,863,475 is: 4,013,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,179 : 1,863,475 = 1,863,475 : x
  2. Step 2: Convert to fraction form
    865,179/1,863,475 = 1,863,475/x
  3. Step 3: Cross multiply
    865,179x = 1,863,475 × 1,863,475
  4. Step 4: Simplify right side
    865,179x = 3,472,539,075,625
  5. Step 5: Solve for x
    x = 3,472,539,075,625/865,179
  6. Step 6: Final answer
    x = 4,013,665.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.