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Finding the Third Proportional to 424,557 and 927,846

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Solution

The third proportional to 424,557 and 927,846 is: 2,027,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,557 : 927,846 = 927,846 : x
  2. Step 2: Convert to fraction form
    424,557/927,846 = 927,846/x
  3. Step 3: Cross multiply
    424,557x = 927,846 × 927,846
  4. Step 4: Simplify right side
    424,557x = 860,898,199,716
  5. Step 5: Solve for x
    x = 860,898,199,716/424,557
  6. Step 6: Final answer
    x = 2,027,756.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.