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Finding the Third Proportional to 434,030 and 950,810

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Solution

The third proportional to 434,030 and 950,810 is: 2,082,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,030 : 950,810 = 950,810 : x
  2. Step 2: Convert to fraction form
    434,030/950,810 = 950,810/x
  3. Step 3: Cross multiply
    434,030x = 950,810 × 950,810
  4. Step 4: Simplify right side
    434,030x = 904,039,656,100
  5. Step 5: Solve for x
    x = 904,039,656,100/434,030
  6. Step 6: Final answer
    x = 2,082,896.70

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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.