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Finding the Third Proportional to 1,905,837 and 4,189,537

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Solution

The third proportional to 1,905,837 and 4,189,537 is: 9,209,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,837 : 4,189,537 = 4,189,537 : x
  2. Step 2: Convert to fraction form
    1,905,837/4,189,537 = 4,189,537/x
  3. Step 3: Cross multiply
    1,905,837x = 4,189,537 × 4,189,537
  4. Step 4: Simplify right side
    1,905,837x = 17,552,220,274,369
  5. Step 5: Solve for x
    x = 17,552,220,274,369/1,905,837
  6. Step 6: Final answer
    x = 9,209,717.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.