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Finding the Third Proportional to 976,988 and 1,394,526

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Solution

The third proportional to 976,988 and 1,394,526 is: 1,990,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,988 : 1,394,526 = 1,394,526 : x
  2. Step 2: Convert to fraction form
    976,988/1,394,526 = 1,394,526/x
  3. Step 3: Cross multiply
    976,988x = 1,394,526 × 1,394,526
  4. Step 4: Simplify right side
    976,988x = 1,944,702,764,676
  5. Step 5: Solve for x
    x = 1,944,702,764,676/976,988
  6. Step 6: Final answer
    x = 1,990,508.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.