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Finding the Third Proportional to 1,692,760.78 and 3,651,242.06

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Solution

The third proportional to 1,692,760.78 and 3,651,242.06 is: 7,875,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,760.78 : 3,651,242.06 = 3,651,242.06 : x
  2. Step 2: Convert to fraction form
    1,692,760.78/3,651,242.06 = 3,651,242.06/x
  3. Step 3: Cross multiply
    1,692,760.78x = 3,651,242.06 × 3,651,242.06
  4. Step 4: Simplify right side
    1,692,760.78x = 13,331,568,598,969.25
  5. Step 5: Solve for x
    x = 13,331,568,598,969.25/1,692,760.78
  6. Step 6: Final answer
    x = 7,875,636.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.