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Finding the Third Proportional to 1,900,657 and 4,135,925

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Solution

The third proportional to 1,900,657 and 4,135,925 is: 8,999,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,657 : 4,135,925 = 4,135,925 : x
  2. Step 2: Convert to fraction form
    1,900,657/4,135,925 = 4,135,925/x
  3. Step 3: Cross multiply
    1,900,657x = 4,135,925 × 4,135,925
  4. Step 4: Simplify right side
    1,900,657x = 17,105,875,605,625
  5. Step 5: Solve for x
    x = 17,105,875,605,625/1,900,657
  6. Step 6: Final answer
    x = 8,999,980.33

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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.