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Finding the Third Proportional to 765,297 and 1,670,467.50

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Solution

The third proportional to 765,297 and 1,670,467.50 is: 3,646,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,297 : 1,670,467.50 = 1,670,467.50 : x
  2. Step 2: Convert to fraction form
    765,297/1,670,467.50 = 1,670,467.50/x
  3. Step 3: Cross multiply
    765,297x = 1,670,467.50 × 1,670,467.50
  4. Step 4: Simplify right side
    765,297x = 2,790,461,668,556.25
  5. Step 5: Solve for x
    x = 2,790,461,668,556.25/765,297
  6. Step 6: Final answer
    x = 3,646,246.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.