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Finding the Third Proportional to 664,246 and 997,037

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Solution

The third proportional to 664,246 and 997,037 is: 1,496,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,246 : 997,037 = 997,037 : x
  2. Step 2: Convert to fraction form
    664,246/997,037 = 997,037/x
  3. Step 3: Cross multiply
    664,246x = 997,037 × 997,037
  4. Step 4: Simplify right side
    664,246x = 994,082,779,369
  5. Step 5: Solve for x
    x = 994,082,779,369/664,246
  6. Step 6: Final answer
    x = 1,496,558.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.