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Finding the Third Proportional to 842,958 and 1,292,598

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Solution

The third proportional to 842,958 and 1,292,598 is: 1,982,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,958 : 1,292,598 = 1,292,598 : x
  2. Step 2: Convert to fraction form
    842,958/1,292,598 = 1,292,598/x
  3. Step 3: Cross multiply
    842,958x = 1,292,598 × 1,292,598
  4. Step 4: Simplify right side
    842,958x = 1,670,809,589,604
  5. Step 5: Solve for x
    x = 1,670,809,589,604/842,958
  6. Step 6: Final answer
    x = 1,982,079.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.