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Finding the Third Proportional to 977,230 and 1,494,907

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Solution

The third proportional to 977,230 and 1,494,907 is: 2,286,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,230 : 1,494,907 = 1,494,907 : x
  2. Step 2: Convert to fraction form
    977,230/1,494,907 = 1,494,907/x
  3. Step 3: Cross multiply
    977,230x = 1,494,907 × 1,494,907
  4. Step 4: Simplify right side
    977,230x = 2,234,746,938,649
  5. Step 5: Solve for x
    x = 2,234,746,938,649/977,230
  6. Step 6: Final answer
    x = 2,286,817.78

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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.