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Finding the Third Proportional to 1,772,478 and 3,865,764

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Solution

The third proportional to 1,772,478 and 3,865,764 is: 8,431,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,478 : 3,865,764 = 3,865,764 : x
  2. Step 2: Convert to fraction form
    1,772,478/3,865,764 = 3,865,764/x
  3. Step 3: Cross multiply
    1,772,478x = 3,865,764 × 3,865,764
  4. Step 4: Simplify right side
    1,772,478x = 14,944,131,303,696
  5. Step 5: Solve for x
    x = 14,944,131,303,696/1,772,478
  6. Step 6: Final answer
    x = 8,431,208.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.