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Finding the Third Proportional to 1,900,590 and 3,832,284

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Solution

The third proportional to 1,900,590 and 3,832,284 is: 7,727,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,590 : 3,832,284 = 3,832,284 : x
  2. Step 2: Convert to fraction form
    1,900,590/3,832,284 = 3,832,284/x
  3. Step 3: Cross multiply
    1,900,590x = 3,832,284 × 3,832,284
  4. Step 4: Simplify right side
    1,900,590x = 14,686,400,656,656
  5. Step 5: Solve for x
    x = 14,686,400,656,656/1,900,590
  6. Step 6: Final answer
    x = 7,727,285.03

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.