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Finding the Third Proportional to 545,346 and 837,135

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Solution

The third proportional to 545,346 and 837,135 is: 1,285,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,346 : 837,135 = 837,135 : x
  2. Step 2: Convert to fraction form
    545,346/837,135 = 837,135/x
  3. Step 3: Cross multiply
    545,346x = 837,135 × 837,135
  4. Step 4: Simplify right side
    545,346x = 700,795,008,225
  5. Step 5: Solve for x
    x = 700,795,008,225/545,346
  6. Step 6: Final answer
    x = 1,285,046.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.