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Finding the Third Proportional to 5,794,314 and 9,172,989

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Solution

The third proportional to 5,794,314 and 9,172,989 is: 14,521,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,314 : 9,172,989 = 9,172,989 : x
  2. Step 2: Convert to fraction form
    5,794,314/9,172,989 = 9,172,989/x
  3. Step 3: Cross multiply
    5,794,314x = 9,172,989 × 9,172,989
  4. Step 4: Simplify right side
    5,794,314x = 84,143,727,194,121
  5. Step 5: Solve for x
    x = 84,143,727,194,121/5,794,314
  6. Step 6: Final answer
    x = 14,521,775.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.