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Finding the Third Proportional to 664,234.59 and 1,057,442.34

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Solution

The third proportional to 664,234.59 and 1,057,442.34 is: 1,683,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,234.59 : 1,057,442.34 = 1,057,442.34 : x
  2. Step 2: Convert to fraction form
    664,234.59/1,057,442.34 = 1,057,442.34/x
  3. Step 3: Cross multiply
    664,234.59x = 1,057,442.34 × 1,057,442.34
  4. Step 4: Simplify right side
    664,234.59x = 1,118,184,310,355.49
  5. Step 5: Solve for x
    x = 1,118,184,310,355.49/664,234.59
  6. Step 6: Final answer
    x = 1,683,417.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.