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Finding the Third Proportional to 976,989 and 1,394,527.50

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Solution

The third proportional to 976,989 and 1,394,527.50 is: 1,990,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,989 : 1,394,527.50 = 1,394,527.50 : x
  2. Step 2: Convert to fraction form
    976,989/1,394,527.50 = 1,394,527.50/x
  3. Step 3: Cross multiply
    976,989x = 1,394,527.50 × 1,394,527.50
  4. Step 4: Simplify right side
    976,989x = 1,944,706,948,256.25
  5. Step 5: Solve for x
    x = 1,944,706,948,256.25/976,989
  6. Step 6: Final answer
    x = 1,990,510.59

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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.