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Finding the Third Proportional to 2,780,577 and 6,092,595

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Solution

The third proportional to 2,780,577 and 6,092,595 is: 13,349,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780,577 : 6,092,595 = 6,092,595 : x
  2. Step 2: Convert to fraction form
    2,780,577/6,092,595 = 6,092,595/x
  3. Step 3: Cross multiply
    2,780,577x = 6,092,595 × 6,092,595
  4. Step 4: Simplify right side
    2,780,577x = 37,119,713,834,025
  5. Step 5: Solve for x
    x = 37,119,713,834,025/2,780,577
  6. Step 6: Final answer
    x = 13,349,644.28

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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.