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Finding the Third Proportional to 977,242 and 1,494,921

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Solution

The third proportional to 977,242 and 1,494,921 is: 2,286,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,242 : 1,494,921 = 1,494,921 : x
  2. Step 2: Convert to fraction form
    977,242/1,494,921 = 1,494,921/x
  3. Step 3: Cross multiply
    977,242x = 1,494,921 × 1,494,921
  4. Step 4: Simplify right side
    977,242x = 2,234,788,796,241
  5. Step 5: Solve for x
    x = 2,234,788,796,241/977,242
  6. Step 6: Final answer
    x = 2,286,832.53

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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.