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Finding the Third Proportional to 1,914,050 and 4,175,824

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Solution

The third proportional to 1,914,050 and 4,175,824 is: 9,110,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,050 : 4,175,824 = 4,175,824 : x
  2. Step 2: Convert to fraction form
    1,914,050/4,175,824 = 4,175,824/x
  3. Step 3: Cross multiply
    1,914,050x = 4,175,824 × 4,175,824
  4. Step 4: Simplify right side
    1,914,050x = 17,437,506,078,976
  5. Step 5: Solve for x
    x = 17,437,506,078,976/1,914,050
  6. Step 6: Final answer
    x = 9,110,266.75

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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.