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Finding the Third Proportional to 492,052 and 1,065,711

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Solution

The third proportional to 492,052 and 1,065,711 is: 2,308,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,052 : 1,065,711 = 1,065,711 : x
  2. Step 2: Convert to fraction form
    492,052/1,065,711 = 1,065,711/x
  3. Step 3: Cross multiply
    492,052x = 1,065,711 × 1,065,711
  4. Step 4: Simplify right side
    492,052x = 1,135,739,935,521
  5. Step 5: Solve for x
    x = 1,135,739,935,521/492,052
  6. Step 6: Final answer
    x = 2,308,170.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.