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Finding the Third Proportional to 977,233 and 1,494,913

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Solution

The third proportional to 977,233 and 1,494,913 is: 2,286,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,233 : 1,494,913 = 1,494,913 : x
  2. Step 2: Convert to fraction form
    977,233/1,494,913 = 1,494,913/x
  3. Step 3: Cross multiply
    977,233x = 1,494,913 × 1,494,913
  4. Step 4: Simplify right side
    977,233x = 2,234,764,877,569
  5. Step 5: Solve for x
    x = 2,234,764,877,569/977,233
  6. Step 6: Final answer
    x = 2,286,829.12

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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.