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Finding the Third Proportional to 977,235 and 1,494,916

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Solution

The third proportional to 977,235 and 1,494,916 is: 2,286,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,235 : 1,494,916 = 1,494,916 : x
  2. Step 2: Convert to fraction form
    977,235/1,494,916 = 1,494,916/x
  3. Step 3: Cross multiply
    977,235x = 1,494,916 × 1,494,916
  4. Step 4: Simplify right side
    977,235x = 2,234,773,847,056
  5. Step 5: Solve for x
    x = 2,234,773,847,056/977,235
  6. Step 6: Final answer
    x = 2,286,833.61

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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.