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Finding the Third Proportional to 2,760,400 and 6,032,553

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Solution

The third proportional to 2,760,400 and 6,032,553 is: 13,183,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,400 : 6,032,553 = 6,032,553 : x
  2. Step 2: Convert to fraction form
    2,760,400/6,032,553 = 6,032,553/x
  3. Step 3: Cross multiply
    2,760,400x = 6,032,553 × 6,032,553
  4. Step 4: Simplify right side
    2,760,400x = 36,391,695,697,809
  5. Step 5: Solve for x
    x = 36,391,695,697,809/2,760,400
  6. Step 6: Final answer
    x = 13,183,486.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.