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Finding the Third Proportional to 431,028 and 923,942

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Solution

The third proportional to 431,028 and 923,942 is: 1,980,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,028 : 923,942 = 923,942 : x
  2. Step 2: Convert to fraction form
    431,028/923,942 = 923,942/x
  3. Step 3: Cross multiply
    431,028x = 923,942 × 923,942
  4. Step 4: Simplify right side
    431,028x = 853,668,819,364
  5. Step 5: Solve for x
    x = 853,668,819,364/431,028
  6. Step 6: Final answer
    x = 1,980,541.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.