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Finding the Third Proportional to 6,024,726 and 8,426,754

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Solution

The third proportional to 6,024,726 and 8,426,754 is: 11,786,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,726 : 8,426,754 = 8,426,754 : x
  2. Step 2: Convert to fraction form
    6,024,726/8,426,754 = 8,426,754/x
  3. Step 3: Cross multiply
    6,024,726x = 8,426,754 × 8,426,754
  4. Step 4: Simplify right side
    6,024,726x = 71,010,182,976,516
  5. Step 5: Solve for x
    x = 71,010,182,976,516/6,024,726
  6. Step 6: Final answer
    x = 11,786,458.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.