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Finding the Third Proportional to 2,465,856 and 3,869,176

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Solution

The third proportional to 2,465,856 and 3,869,176 is: 6,071,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465,856 : 3,869,176 = 3,869,176 : x
  2. Step 2: Convert to fraction form
    2,465,856/3,869,176 = 3,869,176/x
  3. Step 3: Cross multiply
    2,465,856x = 3,869,176 × 3,869,176
  4. Step 4: Simplify right side
    2,465,856x = 14,970,522,918,976
  5. Step 5: Solve for x
    x = 14,970,522,918,976/2,465,856
  6. Step 6: Final answer
    x = 6,071,126.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.