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Finding the Third Proportional to 2,565,534 and 5,577,614

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Solution

The third proportional to 2,565,534 and 5,577,614 is: 12,126,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,534 : 5,577,614 = 5,577,614 : x
  2. Step 2: Convert to fraction form
    2,565,534/5,577,614 = 5,577,614/x
  3. Step 3: Cross multiply
    2,565,534x = 5,577,614 × 5,577,614
  4. Step 4: Simplify right side
    2,565,534x = 31,109,777,932,996
  5. Step 5: Solve for x
    x = 31,109,777,932,996/2,565,534
  6. Step 6: Final answer
    x = 12,126,043.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.