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Finding the Third Proportional to 690,030 and 950,187

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Solution

The third proportional to 690,030 and 950,187 is: 1,308,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,030 : 950,187 = 950,187 : x
  2. Step 2: Convert to fraction form
    690,030/950,187 = 950,187/x
  3. Step 3: Cross multiply
    690,030x = 950,187 × 950,187
  4. Step 4: Simplify right side
    690,030x = 902,855,334,969
  5. Step 5: Solve for x
    x = 902,855,334,969/690,030
  6. Step 6: Final answer
    x = 1,308,429.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.