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Finding the Third Proportional to 1,082,023.31 and 1,688,542.45

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Solution

The third proportional to 1,082,023.31 and 1,688,542.45 is: 2,635,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,023.31 : 1,688,542.45 = 1,688,542.45 : x
  2. Step 2: Convert to fraction form
    1,082,023.31/1,688,542.45 = 1,688,542.45/x
  3. Step 3: Cross multiply
    1,082,023.31x = 1,688,542.45 × 1,688,542.45
  4. Step 4: Simplify right side
    1,082,023.31x = 2,851,175,616,005.39
  5. Step 5: Solve for x
    x = 2,851,175,616,005.39/1,082,023.31
  6. Step 6: Final answer
    x = 2,635,040.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.