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Finding the Third Proportional to 2,475,607 and 3,786,971

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Solution

The third proportional to 2,475,607 and 3,786,971 is: 5,792,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,607 : 3,786,971 = 3,786,971 : x
  2. Step 2: Convert to fraction form
    2,475,607/3,786,971 = 3,786,971/x
  3. Step 3: Cross multiply
    2,475,607x = 3,786,971 × 3,786,971
  4. Step 4: Simplify right side
    2,475,607x = 14,341,149,354,841
  5. Step 5: Solve for x
    x = 14,341,149,354,841/2,475,607
  6. Step 6: Final answer
    x = 5,792,983.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.