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Finding the Third Proportional to 6,499,056 and 9,085,623

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Solution

The third proportional to 6,499,056 and 9,085,623 is: 12,701,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,056 : 9,085,623 = 9,085,623 : x
  2. Step 2: Convert to fraction form
    6,499,056/9,085,623 = 9,085,623/x
  3. Step 3: Cross multiply
    6,499,056x = 9,085,623 × 9,085,623
  4. Step 4: Simplify right side
    6,499,056x = 82,548,545,298,129
  5. Step 5: Solve for x
    x = 82,548,545,298,129/6,499,056
  6. Step 6: Final answer
    x = 12,701,620.87

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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.