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Finding the Third Proportional to 434,030 and 952,101

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Solution

The third proportional to 434,030 and 952,101 is: 2,088,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,030 : 952,101 = 952,101 : x
  2. Step 2: Convert to fraction form
    434,030/952,101 = 952,101/x
  3. Step 3: Cross multiply
    434,030x = 952,101 × 952,101
  4. Step 4: Simplify right side
    434,030x = 906,496,314,201
  5. Step 5: Solve for x
    x = 906,496,314,201/434,030
  6. Step 6: Final answer
    x = 2,088,556.81

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Why These Related Problems?

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