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Finding the Third Proportional to 782,497.50 and 1,715,007

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Solution

The third proportional to 782,497.50 and 1,715,007 is: 3,758,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,497.50 : 1,715,007 = 1,715,007 : x
  2. Step 2: Convert to fraction form
    782,497.50/1,715,007 = 1,715,007/x
  3. Step 3: Cross multiply
    782,497.50x = 1,715,007 × 1,715,007
  4. Step 4: Simplify right side
    782,497.50x = 2,941,249,010,049
  5. Step 5: Solve for x
    x = 2,941,249,010,049/782,497.50
  6. Step 6: Final answer
    x = 3,758,796.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.